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Finding the Fourth Proportional to 625.06, 933.69 and 463.06

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Solution

The fourth proportional to 625.06, 933.69 and 463.06 is: 691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.06 : 933.69 = 463.06 : x
  2. Step 2: Convert to fraction form
    625.06/933.69 = 463.06/x
  3. Step 3: Cross multiply
    625.06x = 933.69 × 463.06
  4. Step 4: Simplify right side
    625.06x = 432,354.49
  5. Step 5: Solve for x
    x = 432,354.49/625.06
  6. Step 6: Final answer
    x = 691.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.