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Finding the Fourth Proportional to 1,307.95, 1,959.50 and 752.02

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Solution

The fourth proportional to 1,307.95, 1,959.50 and 752.02 is: 1,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.95 : 1,959.50 = 752.02 : x
  2. Step 2: Convert to fraction form
    1,307.95/1,959.50 = 752.02/x
  3. Step 3: Cross multiply
    1,307.95x = 1,959.50 × 752.02
  4. Step 4: Simplify right side
    1,307.95x = 1,473,583.19
  5. Step 5: Solve for x
    x = 1,473,583.19/1,307.95
  6. Step 6: Final answer
    x = 1,126.64

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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.