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Finding the Fourth Proportional to 559.77, 772.49 and 307.70

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Solution

The fourth proportional to 559.77, 772.49 and 307.70 is: 424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.77 : 772.49 = 307.70 : x
  2. Step 2: Convert to fraction form
    559.77/772.49 = 307.70/x
  3. Step 3: Cross multiply
    559.77x = 772.49 × 307.70
  4. Step 4: Simplify right side
    559.77x = 237,695.17
  5. Step 5: Solve for x
    x = 237,695.17/559.77
  6. Step 6: Final answer
    x = 424.63

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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.