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Finding the Fourth Proportional to 908.63, 1,356.08 and 821.15

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Solution

The fourth proportional to 908.63, 1,356.08 and 821.15 is: 1,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.63 : 1,356.08 = 821.15 : x
  2. Step 2: Convert to fraction form
    908.63/1,356.08 = 821.15/x
  3. Step 3: Cross multiply
    908.63x = 1,356.08 × 821.15
  4. Step 4: Simplify right side
    908.63x = 1,113,534.21
  5. Step 5: Solve for x
    x = 1,113,534.21/908.63
  6. Step 6: Final answer
    x = 1,225.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.