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Finding the Fourth Proportional to 731.08, 1,009.62 and 584.84

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Solution

The fourth proportional to 731.08, 1,009.62 and 584.84 is: 807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.08 : 1,009.62 = 584.84 : x
  2. Step 2: Convert to fraction form
    731.08/1,009.62 = 584.84/x
  3. Step 3: Cross multiply
    731.08x = 1,009.62 × 584.84
  4. Step 4: Simplify right side
    731.08x = 590,466.16
  5. Step 5: Solve for x
    x = 590,466.16/731.08
  6. Step 6: Final answer
    x = 807.66

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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.