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Finding the Fourth Proportional to 555.50, 829.14 and 417.90

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Solution

The fourth proportional to 555.50, 829.14 and 417.90 is: 623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.50 : 829.14 = 417.90 : x
  2. Step 2: Convert to fraction form
    555.50/829.14 = 417.90/x
  3. Step 3: Cross multiply
    555.50x = 829.14 × 417.90
  4. Step 4: Simplify right side
    555.50x = 346,497.61
  5. Step 5: Solve for x
    x = 346,497.61/555.50
  6. Step 6: Final answer
    x = 623.76

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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.