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Finding the Fourth Proportional to 978.89, 1,468.33 and 478.71

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Solution

The fourth proportional to 978.89, 1,468.33 and 478.71 is: 718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.89 : 1,468.33 = 478.71 : x
  2. Step 2: Convert to fraction form
    978.89/1,468.33 = 478.71/x
  3. Step 3: Cross multiply
    978.89x = 1,468.33 × 478.71
  4. Step 4: Simplify right side
    978.89x = 702,903.06
  5. Step 5: Solve for x
    x = 702,903.06/978.89
  6. Step 6: Final answer
    x = 718.07

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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.