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Finding the Fourth Proportional to 917.36, 1,266.06 and 524.39

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Solution

The fourth proportional to 917.36, 1,266.06 and 524.39 is: 723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.36 : 1,266.06 = 524.39 : x
  2. Step 2: Convert to fraction form
    917.36/1,266.06 = 524.39/x
  3. Step 3: Cross multiply
    917.36x = 1,266.06 × 524.39
  4. Step 4: Simplify right side
    917.36x = 663,909.20
  5. Step 5: Solve for x
    x = 663,909.20/917.36
  6. Step 6: Final answer
    x = 723.72

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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.