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Finding the Fourth Proportional to 653.13, 901.31 and 354.37

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Solution

The fourth proportional to 653.13, 901.31 and 354.37 is: 489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.13 : 901.31 = 354.37 : x
  2. Step 2: Convert to fraction form
    653.13/901.31 = 354.37/x
  3. Step 3: Cross multiply
    653.13x = 901.31 × 354.37
  4. Step 4: Simplify right side
    653.13x = 319,395.24
  5. Step 5: Solve for x
    x = 319,395.24/653.13
  6. Step 6: Final answer
    x = 489.02

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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.