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Finding the Fourth Proportional to 675.42, 932.16 and 465.53

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Solution

The fourth proportional to 675.42, 932.16 and 465.53 is: 642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.42 : 932.16 = 465.53 : x
  2. Step 2: Convert to fraction form
    675.42/932.16 = 465.53/x
  3. Step 3: Cross multiply
    675.42x = 932.16 × 465.53
  4. Step 4: Simplify right side
    675.42x = 433,952.52
  5. Step 5: Solve for x
    x = 433,952.52/675.42
  6. Step 6: Final answer
    x = 642.49

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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.