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Finding the Fourth Proportional to 1,318.65, 1,817.55 and 924.99

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Solution

The fourth proportional to 1,318.65, 1,817.55 and 924.99 is: 1,274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.65 : 1,817.55 = 924.99 : x
  2. Step 2: Convert to fraction form
    1,318.65/1,817.55 = 924.99/x
  3. Step 3: Cross multiply
    1,318.65x = 1,817.55 × 924.99
  4. Step 4: Simplify right side
    1,318.65x = 1,681,215.57
  5. Step 5: Solve for x
    x = 1,681,215.57/1,318.65
  6. Step 6: Final answer
    x = 1,274.95

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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.