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Finding the Fourth Proportional to 498.84, 751.52 and 391.11

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Solution

The fourth proportional to 498.84, 751.52 and 391.11 is: 589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.84 : 751.52 = 391.11 : x
  2. Step 2: Convert to fraction form
    498.84/751.52 = 391.11/x
  3. Step 3: Cross multiply
    498.84x = 751.52 × 391.11
  4. Step 4: Simplify right side
    498.84x = 293,925.03
  5. Step 5: Solve for x
    x = 293,925.03/498.84
  6. Step 6: Final answer
    x = 589.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.