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Finding the Fourth Proportional to 578.68, 869.84 and 498.49

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Solution

The fourth proportional to 578.68, 869.84 and 498.49 is: 749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.68 : 869.84 = 498.49 : x
  2. Step 2: Convert to fraction form
    578.68/869.84 = 498.49/x
  3. Step 3: Cross multiply
    578.68x = 869.84 × 498.49
  4. Step 4: Simplify right side
    578.68x = 433,603.74
  5. Step 5: Solve for x
    x = 433,603.74/578.68
  6. Step 6: Final answer
    x = 749.30

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.