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Finding the Fourth Proportional to 970.20, 1,338.76 and 550.40

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Solution

The fourth proportional to 970.20, 1,338.76 and 550.40 is: 759.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.20 : 1,338.76 = 550.40 : x
  2. Step 2: Convert to fraction form
    970.20/1,338.76 = 550.40/x
  3. Step 3: Cross multiply
    970.20x = 1,338.76 × 550.40
  4. Step 4: Simplify right side
    970.20x = 736,853.50
  5. Step 5: Solve for x
    x = 736,853.50/970.20
  6. Step 6: Final answer
    x = 759.49

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1.5x scale

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.