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Finding the Fourth Proportional to 784.87, 1,083.93 and 679.46

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Solution

The fourth proportional to 784.87, 1,083.93 and 679.46 is: 938.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.87 : 1,083.93 = 679.46 : x
  2. Step 2: Convert to fraction form
    784.87/1,083.93 = 679.46/x
  3. Step 3: Cross multiply
    784.87x = 1,083.93 × 679.46
  4. Step 4: Simplify right side
    784.87x = 736,482.93
  5. Step 5: Solve for x
    x = 736,482.93/784.87
  6. Step 6: Final answer
    x = 938.35

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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.