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Finding the Fourth Proportional to 653.41, 901.70 and 354.65

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Solution

The fourth proportional to 653.41, 901.70 and 354.65 is: 489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.41 : 901.70 = 354.65 : x
  2. Step 2: Convert to fraction form
    653.41/901.70 = 354.65/x
  3. Step 3: Cross multiply
    653.41x = 901.70 × 354.65
  4. Step 4: Simplify right side
    653.41x = 319,787.91
  5. Step 5: Solve for x
    x = 319,787.91/653.41
  6. Step 6: Final answer
    x = 489.41

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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.