Home / 1,031.77-1,423.85-583.66

Finding the Fourth Proportional to 1,031.77, 1,423.85 and 583.66

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Solution

The fourth proportional to 1,031.77, 1,423.85 and 583.66 is: 805.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.77 : 1,423.85 = 583.66 : x
  2. Step 2: Convert to fraction form
    1,031.77/1,423.85 = 583.66/x
  3. Step 3: Cross multiply
    1,031.77x = 1,423.85 × 583.66
  4. Step 4: Simplify right side
    1,031.77x = 831,052.08
  5. Step 5: Solve for x
    x = 831,052.08/1,031.77
  6. Step 6: Final answer
    x = 805.46

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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.