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Finding the Fourth Proportional to 756.23, 1,132.51 and 430.20

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Solution

The fourth proportional to 756.23, 1,132.51 and 430.20 is: 644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.23 : 1,132.51 = 430.20 : x
  2. Step 2: Convert to fraction form
    756.23/1,132.51 = 430.20/x
  3. Step 3: Cross multiply
    756.23x = 1,132.51 × 430.20
  4. Step 4: Simplify right side
    756.23x = 487,205.80
  5. Step 5: Solve for x
    x = 487,205.80/756.23
  6. Step 6: Final answer
    x = 644.26

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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.