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Finding the Fourth Proportional to 1,150.76, 1,587.62 and 708.80

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Solution

The fourth proportional to 1,150.76, 1,587.62 and 708.80 is: 977.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.76 : 1,587.62 = 708.80 : x
  2. Step 2: Convert to fraction form
    1,150.76/1,587.62 = 708.80/x
  3. Step 3: Cross multiply
    1,150.76x = 1,587.62 × 708.80
  4. Step 4: Simplify right side
    1,150.76x = 1,125,305.06
  5. Step 5: Solve for x
    x = 1,125,305.06/1,150.76
  6. Step 6: Final answer
    x = 977.88

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Half scale
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Double scale
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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.