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Finding the Fourth Proportional to 1,134.90, 1,565.19 and 913.77

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Solution

The fourth proportional to 1,134.90, 1,565.19 and 913.77 is: 1,260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.90 : 1,565.19 = 913.77 : x
  2. Step 2: Convert to fraction form
    1,134.90/1,565.19 = 913.77/x
  3. Step 3: Cross multiply
    1,134.90x = 1,565.19 × 913.77
  4. Step 4: Simplify right side
    1,134.90x = 1,430,223.67
  5. Step 5: Solve for x
    x = 1,430,223.67/1,134.90
  6. Step 6: Final answer
    x = 1,260.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.