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Finding the Fourth Proportional to 568.60, 782.66 and 501.98

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Solution

The fourth proportional to 568.60, 782.66 and 501.98 is: 690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.60 : 782.66 = 501.98 : x
  2. Step 2: Convert to fraction form
    568.60/782.66 = 501.98/x
  3. Step 3: Cross multiply
    568.60x = 782.66 × 501.98
  4. Step 4: Simplify right side
    568.60x = 392,877.01
  5. Step 5: Solve for x
    x = 392,877.01/568.60
  6. Step 6: Final answer
    x = 690.96

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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.