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Finding the Fourth Proportional to 563.07, 772.90 and 499.51

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Solution

The fourth proportional to 563.07, 772.90 and 499.51 is: 685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.07 : 772.90 = 499.51 : x
  2. Step 2: Convert to fraction form
    563.07/772.90 = 499.51/x
  3. Step 3: Cross multiply
    563.07x = 772.90 × 499.51
  4. Step 4: Simplify right side
    563.07x = 386,068.10
  5. Step 5: Solve for x
    x = 386,068.10/563.07
  6. Step 6: Final answer
    x = 685.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.