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Finding the Fourth Proportional to 731.10, 1,009.29 and 573.47

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Solution

The fourth proportional to 731.10, 1,009.29 and 573.47 is: 791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.10 : 1,009.29 = 573.47 : x
  2. Step 2: Convert to fraction form
    731.10/1,009.29 = 573.47/x
  3. Step 3: Cross multiply
    731.10x = 1,009.29 × 573.47
  4. Step 4: Simplify right side
    731.10x = 578,792.49
  5. Step 5: Solve for x
    x = 578,792.49/731.10
  6. Step 6: Final answer
    x = 791.67

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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.