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Finding the Fourth Proportional to 566.84, 782.98 and 456.74

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Solution

The fourth proportional to 566.84, 782.98 and 456.74 is: 630.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.84 : 782.98 = 456.74 : x
  2. Step 2: Convert to fraction form
    566.84/782.98 = 456.74/x
  3. Step 3: Cross multiply
    566.84x = 782.98 × 456.74
  4. Step 4: Simplify right side
    566.84x = 357,618.29
  5. Step 5: Solve for x
    x = 357,618.29/566.84
  6. Step 6: Final answer
    x = 630.90

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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.