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Finding the Fourth Proportional to 1,031.37, 1,423.30 and 589.30

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Solution

The fourth proportional to 1,031.37, 1,423.30 and 589.30 is: 813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.37 : 1,423.30 = 589.30 : x
  2. Step 2: Convert to fraction form
    1,031.37/1,423.30 = 589.30/x
  3. Step 3: Cross multiply
    1,031.37x = 1,423.30 × 589.30
  4. Step 4: Simplify right side
    1,031.37x = 838,750.69
  5. Step 5: Solve for x
    x = 838,750.69/1,031.37
  6. Step 6: Final answer
    x = 813.24

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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.