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Finding the Fourth Proportional to 525.68, 724.52 and 465.34

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Solution

The fourth proportional to 525.68, 724.52 and 465.34 is: 641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.68 : 724.52 = 465.34 : x
  2. Step 2: Convert to fraction form
    525.68/724.52 = 465.34/x
  3. Step 3: Cross multiply
    525.68x = 724.52 × 465.34
  4. Step 4: Simplify right side
    525.68x = 337,148.14
  5. Step 5: Solve for x
    x = 337,148.14/525.68
  6. Step 6: Final answer
    x = 641.36

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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.