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Finding the Fourth Proportional to 489.16, 736.40 and 446.10

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Solution

The fourth proportional to 489.16, 736.40 and 446.10 is: 671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.16 : 736.40 = 446.10 : x
  2. Step 2: Convert to fraction form
    489.16/736.40 = 446.10/x
  3. Step 3: Cross multiply
    489.16x = 736.40 × 446.10
  4. Step 4: Simplify right side
    489.16x = 328,508.04
  5. Step 5: Solve for x
    x = 328,508.04/489.16
  6. Step 6: Final answer
    x = 671.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.