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Finding the Fourth Proportional to 808.15, 1,115.15 and 454

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Solution

The fourth proportional to 808.15, 1,115.15 and 454 is: 626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.15 : 1,115.15 = 454 : x
  2. Step 2: Convert to fraction form
    808.15/1,115.15 = 454/x
  3. Step 3: Cross multiply
    808.15x = 1,115.15 × 454
  4. Step 4: Simplify right side
    808.15x = 506,278.10
  5. Step 5: Solve for x
    x = 506,278.10/808.15
  6. Step 6: Final answer
    x = 626.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.