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Finding the Fourth Proportional to 653.49, 901.35 and 632.07

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Solution

The fourth proportional to 653.49, 901.35 and 632.07 is: 871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.49 : 901.35 = 632.07 : x
  2. Step 2: Convert to fraction form
    653.49/901.35 = 632.07/x
  3. Step 3: Cross multiply
    653.49x = 901.35 × 632.07
  4. Step 4: Simplify right side
    653.49x = 569,716.29
  5. Step 5: Solve for x
    x = 569,716.29/653.49
  6. Step 6: Final answer
    x = 871.81

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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.