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Finding the Fourth Proportional to 1,148.64, 1,585.14 and 706.28

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Solution

The fourth proportional to 1,148.64, 1,585.14 and 706.28 is: 974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.64 : 1,585.14 = 706.28 : x
  2. Step 2: Convert to fraction form
    1,148.64/1,585.14 = 706.28/x
  3. Step 3: Cross multiply
    1,148.64x = 1,585.14 × 706.28
  4. Step 4: Simplify right side
    1,148.64x = 1,119,552.68
  5. Step 5: Solve for x
    x = 1,119,552.68/1,148.64
  6. Step 6: Final answer
    x = 974.68

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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.