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Finding the Fourth Proportional to 771.36, 1,151.80 and 607.20

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Solution

The fourth proportional to 771.36, 1,151.80 and 607.20 is: 906.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.36 : 1,151.80 = 607.20 : x
  2. Step 2: Convert to fraction form
    771.36/1,151.80 = 607.20/x
  3. Step 3: Cross multiply
    771.36x = 1,151.80 × 607.20
  4. Step 4: Simplify right side
    771.36x = 699,372.96
  5. Step 5: Solve for x
    x = 699,372.96/771.36
  6. Step 6: Final answer
    x = 906.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.