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Finding the Fourth Proportional to 461.26, 689.03 and 370.13

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Solution

The fourth proportional to 461.26, 689.03 and 370.13 is: 552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.26 : 689.03 = 370.13 : x
  2. Step 2: Convert to fraction form
    461.26/689.03 = 370.13/x
  3. Step 3: Cross multiply
    461.26x = 689.03 × 370.13
  4. Step 4: Simplify right side
    461.26x = 255,030.67
  5. Step 5: Solve for x
    x = 255,030.67/461.26
  6. Step 6: Final answer
    x = 552.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.