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Finding the Fourth Proportional to 653.98, 902.62 and 432.94

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Solution

The fourth proportional to 653.98, 902.62 and 432.94 is: 597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.98 : 902.62 = 432.94 : x
  2. Step 2: Convert to fraction form
    653.98/902.62 = 432.94/x
  3. Step 3: Cross multiply
    653.98x = 902.62 × 432.94
  4. Step 4: Simplify right side
    653.98x = 390,780.30
  5. Step 5: Solve for x
    x = 390,780.30/653.98
  6. Step 6: Final answer
    x = 597.54

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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.