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Finding the Fourth Proportional to 489.16, 732.93 and 427.87

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Solution

The fourth proportional to 489.16, 732.93 and 427.87 is: 641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.16 : 732.93 = 427.87 : x
  2. Step 2: Convert to fraction form
    489.16/732.93 = 427.87/x
  3. Step 3: Cross multiply
    489.16x = 732.93 × 427.87
  4. Step 4: Simplify right side
    489.16x = 313,598.76
  5. Step 5: Solve for x
    x = 313,598.76/489.16
  6. Step 6: Final answer
    x = 641.10

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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.