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Finding the Fourth Proportional to 1,060.65, 1,463.18 and 920.58

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Solution

The fourth proportional to 1,060.65, 1,463.18 and 920.58 is: 1,269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.65 : 1,463.18 = 920.58 : x
  2. Step 2: Convert to fraction form
    1,060.65/1,463.18 = 920.58/x
  3. Step 3: Cross multiply
    1,060.65x = 1,463.18 × 920.58
  4. Step 4: Simplify right side
    1,060.65x = 1,346,969.64
  5. Step 5: Solve for x
    x = 1,346,969.64/1,060.65
  6. Step 6: Final answer
    x = 1,269.95

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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.