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Finding the Fourth Proportional to 755.80, 1,132.30 and 430.20

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Solution

The fourth proportional to 755.80, 1,132.30 and 430.20 is: 644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.80 : 1,132.30 = 430.20 : x
  2. Step 2: Convert to fraction form
    755.80/1,132.30 = 430.20/x
  3. Step 3: Cross multiply
    755.80x = 1,132.30 × 430.20
  4. Step 4: Simplify right side
    755.80x = 487,115.46
  5. Step 5: Solve for x
    x = 487,115.46/755.80
  6. Step 6: Final answer
    x = 644.50

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1.5x scale

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.