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Finding the Fourth Proportional to 1,134.65, 1,565.76 and 662.57

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Solution

The fourth proportional to 1,134.65, 1,565.76 and 662.57 is: 914.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.65 : 1,565.76 = 662.57 : x
  2. Step 2: Convert to fraction form
    1,134.65/1,565.76 = 662.57/x
  3. Step 3: Cross multiply
    1,134.65x = 1,565.76 × 662.57
  4. Step 4: Simplify right side
    1,134.65x = 1,037,417.77
  5. Step 5: Solve for x
    x = 1,037,417.77/1,134.65
  6. Step 6: Final answer
    x = 914.31

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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.