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Finding the Fourth Proportional to 952.95, 1,315.28 and 560.05

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Solution

The fourth proportional to 952.95, 1,315.28 and 560.05 is: 772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.95 : 1,315.28 = 560.05 : x
  2. Step 2: Convert to fraction form
    952.95/1,315.28 = 560.05/x
  3. Step 3: Cross multiply
    952.95x = 1,315.28 × 560.05
  4. Step 4: Simplify right side
    952.95x = 736,622.56
  5. Step 5: Solve for x
    x = 736,622.56/952.95
  6. Step 6: Final answer
    x = 772.99

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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.