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Finding the Fourth Proportional to 1,000.98, 1,491.72 and 928.89

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Solution

The fourth proportional to 1,000.98, 1,491.72 and 928.89 is: 1,384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.98 : 1,491.72 = 928.89 : x
  2. Step 2: Convert to fraction form
    1,000.98/1,491.72 = 928.89/x
  3. Step 3: Cross multiply
    1,000.98x = 1,491.72 × 928.89
  4. Step 4: Simplify right side
    1,000.98x = 1,385,643.79
  5. Step 5: Solve for x
    x = 1,385,643.79/1,000.98
  6. Step 6: Final answer
    x = 1,384.29

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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.