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Finding the Fourth Proportional to 563, 777.10 and 497.72

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Solution

The fourth proportional to 563, 777.10 and 497.72 is: 687.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    563 : 777.10 = 497.72 : x
  2. Step 2: Convert to fraction form
    563/777.10 = 497.72/x
  3. Step 3: Cross multiply
    563x = 777.10 × 497.72
  4. Step 4: Simplify right side
    563x = 386,778.21
  5. Step 5: Solve for x
    x = 386,778.21/563
  6. Step 6: Final answer
    x = 687.00

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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.