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Finding the Fourth Proportional to 1,418.19, 1,957.10 and 788.78

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Solution

The fourth proportional to 1,418.19, 1,957.10 and 788.78 is: 1,088.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.19 : 1,957.10 = 788.78 : x
  2. Step 2: Convert to fraction form
    1,418.19/1,957.10 = 788.78/x
  3. Step 3: Cross multiply
    1,418.19x = 1,957.10 × 788.78
  4. Step 4: Simplify right side
    1,418.19x = 1,543,715.98
  5. Step 5: Solve for x
    x = 1,543,715.98/1,418.19
  6. Step 6: Final answer
    x = 1,088.51

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1.5x scale

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.