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Finding the Fourth Proportional to 531.50, 793.51 and 454.49

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Solution

The fourth proportional to 531.50, 793.51 and 454.49 is: 678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.50 : 793.51 = 454.49 : x
  2. Step 2: Convert to fraction form
    531.50/793.51 = 454.49/x
  3. Step 3: Cross multiply
    531.50x = 793.51 × 454.49
  4. Step 4: Simplify right side
    531.50x = 360,642.36
  5. Step 5: Solve for x
    x = 360,642.36/531.50
  6. Step 6: Final answer
    x = 678.54

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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.