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Finding the Fourth Proportional to 625.10, 933.24 and 478.08

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Solution

The fourth proportional to 625.10, 933.24 and 478.08 is: 713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.10 : 933.24 = 478.08 : x
  2. Step 2: Convert to fraction form
    625.10/933.24 = 478.08/x
  3. Step 3: Cross multiply
    625.10x = 933.24 × 478.08
  4. Step 4: Simplify right side
    625.10x = 446,163.38
  5. Step 5: Solve for x
    x = 446,163.38/625.10
  6. Step 6: Final answer
    x = 713.75

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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.