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Finding the Fourth Proportional to 761.04, 1,048.84 and 564.24

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Solution

The fourth proportional to 761.04, 1,048.84 and 564.24 is: 777.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.04 : 1,048.84 = 564.24 : x
  2. Step 2: Convert to fraction form
    761.04/1,048.84 = 564.24/x
  3. Step 3: Cross multiply
    761.04x = 1,048.84 × 564.24
  4. Step 4: Simplify right side
    761.04x = 591,797.48
  5. Step 5: Solve for x
    x = 591,797.48/761.04
  6. Step 6: Final answer
    x = 777.62

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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.