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Finding the Fourth Proportional to 930.68, 1,403 and 787.40

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Solution

The fourth proportional to 930.68, 1,403 and 787.40 is: 1,187.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.68 : 1,403 = 787.40 : x
  2. Step 2: Convert to fraction form
    930.68/1,403 = 787.40/x
  3. Step 3: Cross multiply
    930.68x = 1,403 × 787.40
  4. Step 4: Simplify right side
    930.68x = 1,104,722.20
  5. Step 5: Solve for x
    x = 1,104,722.20/930.68
  6. Step 6: Final answer
    x = 1,187.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.