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Finding the Fourth Proportional to 1,307.91, 1,962.48 and 821.31

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Solution

The fourth proportional to 1,307.91, 1,962.48 and 821.31 is: 1,232.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.91 : 1,962.48 = 821.31 : x
  2. Step 2: Convert to fraction form
    1,307.91/1,962.48 = 821.31/x
  3. Step 3: Cross multiply
    1,307.91x = 1,962.48 × 821.31
  4. Step 4: Simplify right side
    1,307.91x = 1,611,804.45
  5. Step 5: Solve for x
    x = 1,611,804.45/1,307.91
  6. Step 6: Final answer
    x = 1,232.35

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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.