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Finding the Fourth Proportional to 742.84, 1,024.82 and 480.76

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Solution

The fourth proportional to 742.84, 1,024.82 and 480.76 is: 663.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.84 : 1,024.82 = 480.76 : x
  2. Step 2: Convert to fraction form
    742.84/1,024.82 = 480.76/x
  3. Step 3: Cross multiply
    742.84x = 1,024.82 × 480.76
  4. Step 4: Simplify right side
    742.84x = 492,692.46
  5. Step 5: Solve for x
    x = 492,692.46/742.84
  6. Step 6: Final answer
    x = 663.26

Related Problems

Find fourth proportional to 371.42, 512.41 and 240.38
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.