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Finding the Fourth Proportional to 948.15, 1,420.59 and 515.61

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Solution

The fourth proportional to 948.15, 1,420.59 and 515.61 is: 772.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.15 : 1,420.59 = 515.61 : x
  2. Step 2: Convert to fraction form
    948.15/1,420.59 = 515.61/x
  3. Step 3: Cross multiply
    948.15x = 1,420.59 × 515.61
  4. Step 4: Simplify right side
    948.15x = 732,470.41
  5. Step 5: Solve for x
    x = 732,470.41/948.15
  6. Step 6: Final answer
    x = 772.53

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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.