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Finding the Fourth Proportional to 924.72, 1,386.89 and 275.30

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Solution

The fourth proportional to 924.72, 1,386.89 and 275.30 is: 412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.72 : 1,386.89 = 275.30 : x
  2. Step 2: Convert to fraction form
    924.72/1,386.89 = 275.30/x
  3. Step 3: Cross multiply
    924.72x = 1,386.89 × 275.30
  4. Step 4: Simplify right side
    924.72x = 381,808.74
  5. Step 5: Solve for x
    x = 381,808.74/924.72
  6. Step 6: Final answer
    x = 412.89

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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.