Home / 1,031.80-1,423.95-583.78

Finding the Fourth Proportional to 1,031.80, 1,423.95 and 583.78

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Solution

The fourth proportional to 1,031.80, 1,423.95 and 583.78 is: 805.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.80 : 1,423.95 = 583.78 : x
  2. Step 2: Convert to fraction form
    1,031.80/1,423.95 = 583.78/x
  3. Step 3: Cross multiply
    1,031.80x = 1,423.95 × 583.78
  4. Step 4: Simplify right side
    1,031.80x = 831,273.53
  5. Step 5: Solve for x
    x = 831,273.53/1,031.80
  6. Step 6: Final answer
    x = 805.65

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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.