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Finding the Fourth Proportional to 525.07, 724.13 and 328.60

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Solution

The fourth proportional to 525.07, 724.13 and 328.60 is: 453.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.07 : 724.13 = 328.60 : x
  2. Step 2: Convert to fraction form
    525.07/724.13 = 328.60/x
  3. Step 3: Cross multiply
    525.07x = 724.13 × 328.60
  4. Step 4: Simplify right side
    525.07x = 237,947.48
  5. Step 5: Solve for x
    x = 237,947.48/525.07
  6. Step 6: Final answer
    x = 453.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.