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Finding the Fourth Proportional to 731.03, 1,009.07 and 478.98

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Solution

The fourth proportional to 731.03, 1,009.07 and 478.98 is: 661.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.03 : 1,009.07 = 478.98 : x
  2. Step 2: Convert to fraction form
    731.03/1,009.07 = 478.98/x
  3. Step 3: Cross multiply
    731.03x = 1,009.07 × 478.98
  4. Step 4: Simplify right side
    731.03x = 483,321.95
  5. Step 5: Solve for x
    x = 483,321.95/731.03
  6. Step 6: Final answer
    x = 661.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.