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Finding the Fourth Proportional to 1,307.10, 1,801.65 and 808.63

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Solution

The fourth proportional to 1,307.10, 1,801.65 and 808.63 is: 1,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.10 : 1,801.65 = 808.63 : x
  2. Step 2: Convert to fraction form
    1,307.10/1,801.65 = 808.63/x
  3. Step 3: Cross multiply
    1,307.10x = 1,801.65 × 808.63
  4. Step 4: Simplify right side
    1,307.10x = 1,456,868.24
  5. Step 5: Solve for x
    x = 1,456,868.24/1,307.10
  6. Step 6: Final answer
    x = 1,114.58

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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.