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Finding the Fourth Proportional to 1,002.64, 1,500.50 and 612.44

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Solution

The fourth proportional to 1,002.64, 1,500.50 and 612.44 is: 916.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.64 : 1,500.50 = 612.44 : x
  2. Step 2: Convert to fraction form
    1,002.64/1,500.50 = 612.44/x
  3. Step 3: Cross multiply
    1,002.64x = 1,500.50 × 612.44
  4. Step 4: Simplify right side
    1,002.64x = 918,966.22
  5. Step 5: Solve for x
    x = 918,966.22/1,002.64
  6. Step 6: Final answer
    x = 916.55

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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.