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Finding the Fourth Proportional to 653.54, 901.06 and 429.44

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Solution

The fourth proportional to 653.54, 901.06 and 429.44 is: 592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.54 : 901.06 = 429.44 : x
  2. Step 2: Convert to fraction form
    653.54/901.06 = 429.44/x
  3. Step 3: Cross multiply
    653.54x = 901.06 × 429.44
  4. Step 4: Simplify right side
    653.54x = 386,945.63
  5. Step 5: Solve for x
    x = 386,945.63/653.54
  6. Step 6: Final answer
    x = 592.08

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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.