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Finding the Fourth Proportional to 1,585.59, 2,188.13 and 956.16

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Solution

The fourth proportional to 1,585.59, 2,188.13 and 956.16 is: 1,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.59 : 2,188.13 = 956.16 : x
  2. Step 2: Convert to fraction form
    1,585.59/2,188.13 = 956.16/x
  3. Step 3: Cross multiply
    1,585.59x = 2,188.13 × 956.16
  4. Step 4: Simplify right side
    1,585.59x = 2,092,202.38
  5. Step 5: Solve for x
    x = 2,092,202.38/1,585.59
  6. Step 6: Final answer
    x = 1,319.51

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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.