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Finding the Fourth Proportional to 526.26, 724.63 and 466.39

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Solution

The fourth proportional to 526.26, 724.63 and 466.39 is: 642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.26 : 724.63 = 466.39 : x
  2. Step 2: Convert to fraction form
    526.26/724.63 = 466.39/x
  3. Step 3: Cross multiply
    526.26x = 724.63 × 466.39
  4. Step 4: Simplify right side
    526.26x = 337,960.19
  5. Step 5: Solve for x
    x = 337,960.19/526.26
  6. Step 6: Final answer
    x = 642.19

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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.