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Finding the Fourth Proportional to 978.33, 1,470.23 and 491.72

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Solution

The fourth proportional to 978.33, 1,470.23 and 491.72 is: 738.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.33 : 1,470.23 = 491.72 : x
  2. Step 2: Convert to fraction form
    978.33/1,470.23 = 491.72/x
  3. Step 3: Cross multiply
    978.33x = 1,470.23 × 491.72
  4. Step 4: Simplify right side
    978.33x = 722,931.69
  5. Step 5: Solve for x
    x = 722,931.69/978.33
  6. Step 6: Final answer
    x = 738.94

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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.