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Finding the Fourth Proportional to 567.74, 782.14 and 457.02

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Solution

The fourth proportional to 567.74, 782.14 and 457.02 is: 629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.74 : 782.14 = 457.02 : x
  2. Step 2: Convert to fraction form
    567.74/782.14 = 457.02/x
  3. Step 3: Cross multiply
    567.74x = 782.14 × 457.02
  4. Step 4: Simplify right side
    567.74x = 357,451.34
  5. Step 5: Solve for x
    x = 357,451.34/567.74
  6. Step 6: Final answer
    x = 629.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.