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Finding the Fourth Proportional to 563.91, 772.37 and 530.70

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Solution

The fourth proportional to 563.91, 772.37 and 530.70 is: 726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.91 : 772.37 = 530.70 : x
  2. Step 2: Convert to fraction form
    563.91/772.37 = 530.70/x
  3. Step 3: Cross multiply
    563.91x = 772.37 × 530.70
  4. Step 4: Simplify right side
    563.91x = 409,894.11
  5. Step 5: Solve for x
    x = 409,894.11/563.91
  6. Step 6: Final answer
    x = 726.88

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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.