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Finding the Fourth Proportional to 946.64, 1,307.80 and 808.20

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Solution

The fourth proportional to 946.64, 1,307.80 and 808.20 is: 1,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.64 : 1,307.80 = 808.20 : x
  2. Step 2: Convert to fraction form
    946.64/1,307.80 = 808.20/x
  3. Step 3: Cross multiply
    946.64x = 1,307.80 × 808.20
  4. Step 4: Simplify right side
    946.64x = 1,056,963.96
  5. Step 5: Solve for x
    x = 1,056,963.96/946.64
  6. Step 6: Final answer
    x = 1,116.54

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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.