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Finding the Fourth Proportional to 761.16, 1,142.28 and 569.28

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Solution

The fourth proportional to 761.16, 1,142.28 and 569.28 is: 854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.16 : 1,142.28 = 569.28 : x
  2. Step 2: Convert to fraction form
    761.16/1,142.28 = 569.28/x
  3. Step 3: Cross multiply
    761.16x = 1,142.28 × 569.28
  4. Step 4: Simplify right side
    761.16x = 650,277.16
  5. Step 5: Solve for x
    x = 650,277.16/761.16
  6. Step 6: Final answer
    x = 854.32

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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.