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Finding the Fourth Proportional to 1,134.53, 1,566.13 and 761.39

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Solution

The fourth proportional to 1,134.53, 1,566.13 and 761.39 is: 1,051.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.53 : 1,566.13 = 761.39 : x
  2. Step 2: Convert to fraction form
    1,134.53/1,566.13 = 761.39/x
  3. Step 3: Cross multiply
    1,134.53x = 1,566.13 × 761.39
  4. Step 4: Simplify right side
    1,134.53x = 1,192,435.72
  5. Step 5: Solve for x
    x = 1,192,435.72/1,134.53
  6. Step 6: Final answer
    x = 1,051.04

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1.5x scale

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.