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Finding the Fourth Proportional to 1,017.77, 1,526.68 and 324.47

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Solution

The fourth proportional to 1,017.77, 1,526.68 and 324.47 is: 486.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.77 : 1,526.68 = 324.47 : x
  2. Step 2: Convert to fraction form
    1,017.77/1,526.68 = 324.47/x
  3. Step 3: Cross multiply
    1,017.77x = 1,526.68 × 324.47
  4. Step 4: Simplify right side
    1,017.77x = 495,366.08
  5. Step 5: Solve for x
    x = 495,366.08/1,017.77
  6. Step 6: Final answer
    x = 486.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.