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Finding the Fourth Proportional to 1,002.36, 1,492.23 and 988.68

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Solution

The fourth proportional to 1,002.36, 1,492.23 and 988.68 is: 1,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.36 : 1,492.23 = 988.68 : x
  2. Step 2: Convert to fraction form
    1,002.36/1,492.23 = 988.68/x
  3. Step 3: Cross multiply
    1,002.36x = 1,492.23 × 988.68
  4. Step 4: Simplify right side
    1,002.36x = 1,475,337.96
  5. Step 5: Solve for x
    x = 1,475,337.96/1,002.36
  6. Step 6: Final answer
    x = 1,471.86

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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.