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Finding the Fourth Proportional to 1,152.19, 1,590.20 and 686.71

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Solution

The fourth proportional to 1,152.19, 1,590.20 and 686.71 is: 947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.19 : 1,590.20 = 686.71 : x
  2. Step 2: Convert to fraction form
    1,152.19/1,590.20 = 686.71/x
  3. Step 3: Cross multiply
    1,152.19x = 1,590.20 × 686.71
  4. Step 4: Simplify right side
    1,152.19x = 1,092,006.24
  5. Step 5: Solve for x
    x = 1,092,006.24/1,152.19
  6. Step 6: Final answer
    x = 947.77

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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.