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Finding the Fourth Proportional to 949.30, 1,417.17 and 803.46

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Solution

The fourth proportional to 949.30, 1,417.17 and 803.46 is: 1,199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.30 : 1,417.17 = 803.46 : x
  2. Step 2: Convert to fraction form
    949.30/1,417.17 = 803.46/x
  3. Step 3: Cross multiply
    949.30x = 1,417.17 × 803.46
  4. Step 4: Simplify right side
    949.30x = 1,138,639.41
  5. Step 5: Solve for x
    x = 1,138,639.41/949.30
  6. Step 6: Final answer
    x = 1,199.45

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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.