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Finding the Fourth Proportional to 597.68, 825.92 and 432.40

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Solution

The fourth proportional to 597.68, 825.92 and 432.40 is: 597.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.68 : 825.92 = 432.40 : x
  2. Step 2: Convert to fraction form
    597.68/825.92 = 432.40/x
  3. Step 3: Cross multiply
    597.68x = 825.92 × 432.40
  4. Step 4: Simplify right side
    597.68x = 357,127.81
  5. Step 5: Solve for x
    x = 357,127.81/597.68
  6. Step 6: Final answer
    x = 597.52

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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.