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Finding the Fourth Proportional to 771.52, 1,159.44 and 463.45

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Solution

The fourth proportional to 771.52, 1,159.44 and 463.45 is: 696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.52 : 1,159.44 = 463.45 : x
  2. Step 2: Convert to fraction form
    771.52/1,159.44 = 463.45/x
  3. Step 3: Cross multiply
    771.52x = 1,159.44 × 463.45
  4. Step 4: Simplify right side
    771.52x = 537,342.47
  5. Step 5: Solve for x
    x = 537,342.47/771.52
  6. Step 6: Final answer
    x = 696.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.