Home / 1,031.51-1,423.46-589.40

Finding the Fourth Proportional to 1,031.51, 1,423.46 and 589.40

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Solution

The fourth proportional to 1,031.51, 1,423.46 and 589.40 is: 813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.51 : 1,423.46 = 589.40 : x
  2. Step 2: Convert to fraction form
    1,031.51/1,423.46 = 589.40/x
  3. Step 3: Cross multiply
    1,031.51x = 1,423.46 × 589.40
  4. Step 4: Simplify right side
    1,031.51x = 838,977.26
  5. Step 5: Solve for x
    x = 838,977.26/1,031.51
  6. Step 6: Final answer
    x = 813.35

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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.