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Finding the Fourth Proportional to 561.93, 840.72 and 489.63

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Solution

The fourth proportional to 561.93, 840.72 and 489.63 is: 732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.93 : 840.72 = 489.63 : x
  2. Step 2: Convert to fraction form
    561.93/840.72 = 489.63/x
  3. Step 3: Cross multiply
    561.93x = 840.72 × 489.63
  4. Step 4: Simplify right side
    561.93x = 411,641.73
  5. Step 5: Solve for x
    x = 411,641.73/561.93
  6. Step 6: Final answer
    x = 732.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.