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Finding the Fourth Proportional to 522.10, 777.68 and 498.40

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Solution

The fourth proportional to 522.10, 777.68 and 498.40 is: 742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.10 : 777.68 = 498.40 : x
  2. Step 2: Convert to fraction form
    522.10/777.68 = 498.40/x
  3. Step 3: Cross multiply
    522.10x = 777.68 × 498.40
  4. Step 4: Simplify right side
    522.10x = 387,600.32
  5. Step 5: Solve for x
    x = 387,600.32/522.10
  6. Step 6: Final answer
    x = 742.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.