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Finding the Fourth Proportional to 498.66, 748.86 and 478.50

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Solution

The fourth proportional to 498.66, 748.86 and 478.50 is: 718.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.66 : 748.86 = 478.50 : x
  2. Step 2: Convert to fraction form
    498.66/748.86 = 478.50/x
  3. Step 3: Cross multiply
    498.66x = 748.86 × 478.50
  4. Step 4: Simplify right side
    498.66x = 358,329.51
  5. Step 5: Solve for x
    x = 358,329.51/498.66
  6. Step 6: Final answer
    x = 718.58

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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.