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Finding the Fourth Proportional to 744.75, 1,026.68 and 523.35

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Solution

The fourth proportional to 744.75, 1,026.68 and 523.35 is: 721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.75 : 1,026.68 = 523.35 : x
  2. Step 2: Convert to fraction form
    744.75/1,026.68 = 523.35/x
  3. Step 3: Cross multiply
    744.75x = 1,026.68 × 523.35
  4. Step 4: Simplify right side
    744.75x = 537,310.36
  5. Step 5: Solve for x
    x = 537,310.36/744.75
  6. Step 6: Final answer
    x = 721.46

Related Problems

Find fourth proportional to 372.38, 513.34 and 261.68
Half scale
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Double scale
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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.