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Finding the Fourth Proportional to 938.07, 1,407.51 and 505.14

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Solution

The fourth proportional to 938.07, 1,407.51 and 505.14 is: 757.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.07 : 1,407.51 = 505.14 : x
  2. Step 2: Convert to fraction form
    938.07/1,407.51 = 505.14/x
  3. Step 3: Cross multiply
    938.07x = 1,407.51 × 505.14
  4. Step 4: Simplify right side
    938.07x = 710,989.60
  5. Step 5: Solve for x
    x = 710,989.60/938.07
  6. Step 6: Final answer
    x = 757.93

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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.