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Finding the Fourth Proportional to 924.67, 1,386.23 and 615.84

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Solution

The fourth proportional to 924.67, 1,386.23 and 615.84 is: 923.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.67 : 1,386.23 = 615.84 : x
  2. Step 2: Convert to fraction form
    924.67/1,386.23 = 615.84/x
  3. Step 3: Cross multiply
    924.67x = 1,386.23 × 615.84
  4. Step 4: Simplify right side
    924.67x = 853,695.88
  5. Step 5: Solve for x
    x = 853,695.88/924.67
  6. Step 6: Final answer
    x = 923.24

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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.