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Finding the Fourth Proportional to 672.97, 928.24 and 410.53

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Solution

The fourth proportional to 672.97, 928.24 and 410.53 is: 566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.97 : 928.24 = 410.53 : x
  2. Step 2: Convert to fraction form
    672.97/928.24 = 410.53/x
  3. Step 3: Cross multiply
    672.97x = 928.24 × 410.53
  4. Step 4: Simplify right side
    672.97x = 381,070.37
  5. Step 5: Solve for x
    x = 381,070.37/672.97
  6. Step 6: Final answer
    x = 566.25

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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.