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Finding the Fourth Proportional to 1,030.80, 1,423.38 and 658.44

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Solution

The fourth proportional to 1,030.80, 1,423.38 and 658.44 is: 909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.80 : 1,423.38 = 658.44 : x
  2. Step 2: Convert to fraction form
    1,030.80/1,423.38 = 658.44/x
  3. Step 3: Cross multiply
    1,030.80x = 1,423.38 × 658.44
  4. Step 4: Simplify right side
    1,030.80x = 937,210.33
  5. Step 5: Solve for x
    x = 937,210.33/1,030.80
  6. Step 6: Final answer
    x = 909.21

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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.