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Finding the Fourth Proportional to 1,149.66, 1,585.76 and 707.30

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Solution

The fourth proportional to 1,149.66, 1,585.76 and 707.30 is: 975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.66 : 1,585.76 = 707.30 : x
  2. Step 2: Convert to fraction form
    1,149.66/1,585.76 = 707.30/x
  3. Step 3: Cross multiply
    1,149.66x = 1,585.76 × 707.30
  4. Step 4: Simplify right side
    1,149.66x = 1,121,608.05
  5. Step 5: Solve for x
    x = 1,121,608.05/1,149.66
  6. Step 6: Final answer
    x = 975.60

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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.