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Finding the Fourth Proportional to 1,002.07, 1,500.37 and 909.12

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Solution

The fourth proportional to 1,002.07, 1,500.37 and 909.12 is: 1,361.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.07 : 1,500.37 = 909.12 : x
  2. Step 2: Convert to fraction form
    1,002.07/1,500.37 = 909.12/x
  3. Step 3: Cross multiply
    1,002.07x = 1,500.37 × 909.12
  4. Step 4: Simplify right side
    1,002.07x = 1,364,024.84
  5. Step 5: Solve for x
    x = 1,364,024.84/1,002.07
  6. Step 6: Final answer
    x = 1,361.21

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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.