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Finding the Fourth Proportional to 560.83, 774.68 and 431.44

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Solution

The fourth proportional to 560.83, 774.68 and 431.44 is: 595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.83 : 774.68 = 431.44 : x
  2. Step 2: Convert to fraction form
    560.83/774.68 = 431.44/x
  3. Step 3: Cross multiply
    560.83x = 774.68 × 431.44
  4. Step 4: Simplify right side
    560.83x = 334,227.94
  5. Step 5: Solve for x
    x = 334,227.94/560.83
  6. Step 6: Final answer
    x = 595.95

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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.