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Finding the Fourth Proportional to 624.13, 933.93 and 538.45

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Solution

The fourth proportional to 624.13, 933.93 and 538.45 is: 805.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.13 : 933.93 = 538.45 : x
  2. Step 2: Convert to fraction form
    624.13/933.93 = 538.45/x
  3. Step 3: Cross multiply
    624.13x = 933.93 × 538.45
  4. Step 4: Simplify right side
    624.13x = 502,874.61
  5. Step 5: Solve for x
    x = 502,874.61/624.13
  6. Step 6: Final answer
    x = 805.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.