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Finding the Fourth Proportional to 761.52, 1,051.38 and 564.78

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Solution

The fourth proportional to 761.52, 1,051.38 and 564.78 is: 779.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.52 : 1,051.38 = 564.78 : x
  2. Step 2: Convert to fraction form
    761.52/1,051.38 = 564.78/x
  3. Step 3: Cross multiply
    761.52x = 1,051.38 × 564.78
  4. Step 4: Simplify right side
    761.52x = 593,798.40
  5. Step 5: Solve for x
    x = 593,798.40/761.52
  6. Step 6: Final answer
    x = 779.75

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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.