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Finding the Fourth Proportional to 1,125.16, 1,685.91 and 970.71

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Solution

The fourth proportional to 1,125.16, 1,685.91 and 970.71 is: 1,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.16 : 1,685.91 = 970.71 : x
  2. Step 2: Convert to fraction form
    1,125.16/1,685.91 = 970.71/x
  3. Step 3: Cross multiply
    1,125.16x = 1,685.91 × 970.71
  4. Step 4: Simplify right side
    1,125.16x = 1,636,529.70
  5. Step 5: Solve for x
    x = 1,636,529.70/1,125.16
  6. Step 6: Final answer
    x = 1,454.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.