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Finding the Fourth Proportional to 801.51, 1,201.74 and 410.77

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Solution

The fourth proportional to 801.51, 1,201.74 and 410.77 is: 615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.51 : 1,201.74 = 410.77 : x
  2. Step 2: Convert to fraction form
    801.51/1,201.74 = 410.77/x
  3. Step 3: Cross multiply
    801.51x = 1,201.74 × 410.77
  4. Step 4: Simplify right side
    801.51x = 493,638.74
  5. Step 5: Solve for x
    x = 493,638.74/801.51
  6. Step 6: Final answer
    x = 615.89

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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.