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Finding the Fourth Proportional to 1,000.88, 1,501.42 and 415.76

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Solution

The fourth proportional to 1,000.88, 1,501.42 and 415.76 is: 623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.88 : 1,501.42 = 415.76 : x
  2. Step 2: Convert to fraction form
    1,000.88/1,501.42 = 415.76/x
  3. Step 3: Cross multiply
    1,000.88x = 1,501.42 × 415.76
  4. Step 4: Simplify right side
    1,000.88x = 624,230.38
  5. Step 5: Solve for x
    x = 624,230.38/1,000.88
  6. Step 6: Final answer
    x = 623.68

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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.