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Finding the Fourth Proportional to 917.81, 1,266.79 and 525.06

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Solution

The fourth proportional to 917.81, 1,266.79 and 525.06 is: 724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.81 : 1,266.79 = 525.06 : x
  2. Step 2: Convert to fraction form
    917.81/1,266.79 = 525.06/x
  3. Step 3: Cross multiply
    917.81x = 1,266.79 × 525.06
  4. Step 4: Simplify right side
    917.81x = 665,134.42
  5. Step 5: Solve for x
    x = 665,134.42/917.81
  6. Step 6: Final answer
    x = 724.70

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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.