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Finding the Fourth Proportional to 759.54, 1,140.18 and 430.48

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Solution

The fourth proportional to 759.54, 1,140.18 and 430.48 is: 646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.54 : 1,140.18 = 430.48 : x
  2. Step 2: Convert to fraction form
    759.54/1,140.18 = 430.48/x
  3. Step 3: Cross multiply
    759.54x = 1,140.18 × 430.48
  4. Step 4: Simplify right side
    759.54x = 490,824.50
  5. Step 5: Solve for x
    x = 490,824.50/759.54
  6. Step 6: Final answer
    x = 646.21

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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.