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Finding the Fourth Proportional to 563.72, 840.60 and 524.78

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Solution

The fourth proportional to 563.72, 840.60 and 524.78 is: 782.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.72 : 840.60 = 524.78 : x
  2. Step 2: Convert to fraction form
    563.72/840.60 = 524.78/x
  3. Step 3: Cross multiply
    563.72x = 840.60 × 524.78
  4. Step 4: Simplify right side
    563.72x = 441,125.87
  5. Step 5: Solve for x
    x = 441,125.87/563.72
  6. Step 6: Final answer
    x = 782.53

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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.