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Finding the Fourth Proportional to 864.05, 1,294 and 473.47

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Solution

The fourth proportional to 864.05, 1,294 and 473.47 is: 709.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.05 : 1,294 = 473.47 : x
  2. Step 2: Convert to fraction form
    864.05/1,294 = 473.47/x
  3. Step 3: Cross multiply
    864.05x = 1,294 × 473.47
  4. Step 4: Simplify right side
    864.05x = 612,670.18
  5. Step 5: Solve for x
    x = 612,670.18/864.05
  6. Step 6: Final answer
    x = 709.07

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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.