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Finding the Fourth Proportional to 810.72, 1,117.62 and 561.66

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Solution

The fourth proportional to 810.72, 1,117.62 and 561.66 is: 774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.72 : 1,117.62 = 561.66 : x
  2. Step 2: Convert to fraction form
    810.72/1,117.62 = 561.66/x
  3. Step 3: Cross multiply
    810.72x = 1,117.62 × 561.66
  4. Step 4: Simplify right side
    810.72x = 627,722.45
  5. Step 5: Solve for x
    x = 627,722.45/810.72
  6. Step 6: Final answer
    x = 774.28

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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.