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Finding the Fourth Proportional to 713.07, 1,070.76 and 440.89

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Solution

The fourth proportional to 713.07, 1,070.76 and 440.89 is: 662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.07 : 1,070.76 = 440.89 : x
  2. Step 2: Convert to fraction form
    713.07/1,070.76 = 440.89/x
  3. Step 3: Cross multiply
    713.07x = 1,070.76 × 440.89
  4. Step 4: Simplify right side
    713.07x = 472,087.38
  5. Step 5: Solve for x
    x = 472,087.38/713.07
  6. Step 6: Final answer
    x = 662.05

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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.