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Finding the Fourth Proportional to 460.48, 686.60 and 452.28

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Solution

The fourth proportional to 460.48, 686.60 and 452.28 is: 674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.48 : 686.60 = 452.28 : x
  2. Step 2: Convert to fraction form
    460.48/686.60 = 452.28/x
  3. Step 3: Cross multiply
    460.48x = 686.60 × 452.28
  4. Step 4: Simplify right side
    460.48x = 310,535.45
  5. Step 5: Solve for x
    x = 310,535.45/460.48
  6. Step 6: Final answer
    x = 674.37

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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.