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Finding the Fourth Proportional to 810.18, 1,117.72 and 588.64

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Solution

The fourth proportional to 810.18, 1,117.72 and 588.64 is: 812.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.18 : 1,117.72 = 588.64 : x
  2. Step 2: Convert to fraction form
    810.18/1,117.72 = 588.64/x
  3. Step 3: Cross multiply
    810.18x = 1,117.72 × 588.64
  4. Step 4: Simplify right side
    810.18x = 657,934.70
  5. Step 5: Solve for x
    x = 657,934.70/810.18
  6. Step 6: Final answer
    x = 812.08

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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.