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Finding the Fourth Proportional to 624.16, 939.68 and 433.12

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Solution

The fourth proportional to 624.16, 939.68 and 433.12 is: 652.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.16 : 939.68 = 433.12 : x
  2. Step 2: Convert to fraction form
    624.16/939.68 = 433.12/x
  3. Step 3: Cross multiply
    624.16x = 939.68 × 433.12
  4. Step 4: Simplify right side
    624.16x = 406,994.20
  5. Step 5: Solve for x
    x = 406,994.20/624.16
  6. Step 6: Final answer
    x = 652.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.