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Finding the Fourth Proportional to 949.66, 1,417.13 and 840.31

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Solution

The fourth proportional to 949.66, 1,417.13 and 840.31 is: 1,253.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.66 : 1,417.13 = 840.31 : x
  2. Step 2: Convert to fraction form
    949.66/1,417.13 = 840.31/x
  3. Step 3: Cross multiply
    949.66x = 1,417.13 × 840.31
  4. Step 4: Simplify right side
    949.66x = 1,190,828.51
  5. Step 5: Solve for x
    x = 1,190,828.51/949.66
  6. Step 6: Final answer
    x = 1,253.95

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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.