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Finding the Fourth Proportional to 1,031.24, 1,420.65 and 866.40

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Solution

The fourth proportional to 1,031.24, 1,420.65 and 866.40 is: 1,193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.24 : 1,420.65 = 866.40 : x
  2. Step 2: Convert to fraction form
    1,031.24/1,420.65 = 866.40/x
  3. Step 3: Cross multiply
    1,031.24x = 1,420.65 × 866.40
  4. Step 4: Simplify right side
    1,031.24x = 1,230,851.16
  5. Step 5: Solve for x
    x = 1,230,851.16/1,031.24
  6. Step 6: Final answer
    x = 1,193.57

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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.