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Finding the Fourth Proportional to 810.55, 1,118.14 and 527.37

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Solution

The fourth proportional to 810.55, 1,118.14 and 527.37 is: 727.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.55 : 1,118.14 = 527.37 : x
  2. Step 2: Convert to fraction form
    810.55/1,118.14 = 527.37/x
  3. Step 3: Cross multiply
    810.55x = 1,118.14 × 527.37
  4. Step 4: Simplify right side
    810.55x = 589,673.49
  5. Step 5: Solve for x
    x = 589,673.49/810.55
  6. Step 6: Final answer
    x = 727.50

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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.