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Finding the Fourth Proportional to 1,302.71, 1,954.06 and 788.63

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Solution

The fourth proportional to 1,302.71, 1,954.06 and 788.63 is: 1,182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.71 : 1,954.06 = 788.63 : x
  2. Step 2: Convert to fraction form
    1,302.71/1,954.06 = 788.63/x
  3. Step 3: Cross multiply
    1,302.71x = 1,954.06 × 788.63
  4. Step 4: Simplify right side
    1,302.71x = 1,541,018.60
  5. Step 5: Solve for x
    x = 1,541,018.60/1,302.71
  6. Step 6: Final answer
    x = 1,182.94

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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.