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Finding the Fourth Proportional to 461.76, 689.77 and 370.63

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Solution

The fourth proportional to 461.76, 689.77 and 370.63 is: 553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.76 : 689.77 = 370.63 : x
  2. Step 2: Convert to fraction form
    461.76/689.77 = 370.63/x
  3. Step 3: Cross multiply
    461.76x = 689.77 × 370.63
  4. Step 4: Simplify right side
    461.76x = 255,649.46
  5. Step 5: Solve for x
    x = 255,649.46/461.76
  6. Step 6: Final answer
    x = 553.64

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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.