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Finding the Fourth Proportional to 999.60, 1,378.02 and 703.95

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Solution

The fourth proportional to 999.60, 1,378.02 and 703.95 is: 970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.60 : 1,378.02 = 703.95 : x
  2. Step 2: Convert to fraction form
    999.60/1,378.02 = 703.95/x
  3. Step 3: Cross multiply
    999.60x = 1,378.02 × 703.95
  4. Step 4: Simplify right side
    999.60x = 970,057.18
  5. Step 5: Solve for x
    x = 970,057.18/999.60
  6. Step 6: Final answer
    x = 970.45

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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.