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Finding the Fourth Proportional to 1,417.07, 1,955.67 and 787.80

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Solution

The fourth proportional to 1,417.07, 1,955.67 and 787.80 is: 1,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.07 : 1,955.67 = 787.80 : x
  2. Step 2: Convert to fraction form
    1,417.07/1,955.67 = 787.80/x
  3. Step 3: Cross multiply
    1,417.07x = 1,955.67 × 787.80
  4. Step 4: Simplify right side
    1,417.07x = 1,540,677.92
  5. Step 5: Solve for x
    x = 1,540,677.92/1,417.07
  6. Step 6: Final answer
    x = 1,087.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.