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Finding the Fourth Proportional to 946.55, 1,418.15 and 808.20

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Solution

The fourth proportional to 946.55, 1,418.15 and 808.20 is: 1,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.55 : 1,418.15 = 808.20 : x
  2. Step 2: Convert to fraction form
    946.55/1,418.15 = 808.20/x
  3. Step 3: Cross multiply
    946.55x = 1,418.15 × 808.20
  4. Step 4: Simplify right side
    946.55x = 1,146,148.83
  5. Step 5: Solve for x
    x = 1,146,148.83/946.55
  6. Step 6: Final answer
    x = 1,210.87

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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.