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Finding the Fourth Proportional to 563.52, 840.74 and 504.78

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Solution

The fourth proportional to 563.52, 840.74 and 504.78 is: 753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.52 : 840.74 = 504.78 : x
  2. Step 2: Convert to fraction form
    563.52/840.74 = 504.78/x
  3. Step 3: Cross multiply
    563.52x = 840.74 × 504.78
  4. Step 4: Simplify right side
    563.52x = 424,388.74
  5. Step 5: Solve for x
    x = 424,388.74/563.52
  6. Step 6: Final answer
    x = 753.10

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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.