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Finding the Fourth Proportional to 1,068.62, 1,595.14 and 981.95

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Solution

The fourth proportional to 1,068.62, 1,595.14 and 981.95 is: 1,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.62 : 1,595.14 = 981.95 : x
  2. Step 2: Convert to fraction form
    1,068.62/1,595.14 = 981.95/x
  3. Step 3: Cross multiply
    1,068.62x = 1,595.14 × 981.95
  4. Step 4: Simplify right side
    1,068.62x = 1,566,337.29
  5. Step 5: Solve for x
    x = 1,566,337.29/1,068.62
  6. Step 6: Final answer
    x = 1,465.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.