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Finding the Fourth Proportional to 953.70, 1,430.54 and 515.15

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Solution

The fourth proportional to 953.70, 1,430.54 and 515.15 is: 772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.70 : 1,430.54 = 515.15 : x
  2. Step 2: Convert to fraction form
    953.70/1,430.54 = 515.15/x
  3. Step 3: Cross multiply
    953.70x = 1,430.54 × 515.15
  4. Step 4: Simplify right side
    953.70x = 736,932.95
  5. Step 5: Solve for x
    x = 736,932.95/953.70
  6. Step 6: Final answer
    x = 772.71

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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.