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Finding the Fourth Proportional to 457.12, 689.56 and 430.48

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Solution

The fourth proportional to 457.12, 689.56 and 430.48 is: 649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.12 : 689.56 = 430.48 : x
  2. Step 2: Convert to fraction form
    457.12/689.56 = 430.48/x
  3. Step 3: Cross multiply
    457.12x = 689.56 × 430.48
  4. Step 4: Simplify right side
    457.12x = 296,841.79
  5. Step 5: Solve for x
    x = 296,841.79/457.12
  6. Step 6: Final answer
    x = 649.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.