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Finding the Fourth Proportional to 1,009.88, 1,515.16 and 496.52

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Solution

The fourth proportional to 1,009.88, 1,515.16 and 496.52 is: 744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.88 : 1,515.16 = 496.52 : x
  2. Step 2: Convert to fraction form
    1,009.88/1,515.16 = 496.52/x
  3. Step 3: Cross multiply
    1,009.88x = 1,515.16 × 496.52
  4. Step 4: Simplify right side
    1,009.88x = 752,307.24
  5. Step 5: Solve for x
    x = 752,307.24/1,009.88
  6. Step 6: Final answer
    x = 744.95

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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.