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Finding the Fourth Proportional to 1,032.40, 1,424.19 and 658.99

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Solution

The fourth proportional to 1,032.40, 1,424.19 and 658.99 is: 909.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.40 : 1,424.19 = 658.99 : x
  2. Step 2: Convert to fraction form
    1,032.40/1,424.19 = 658.99/x
  3. Step 3: Cross multiply
    1,032.40x = 1,424.19 × 658.99
  4. Step 4: Simplify right side
    1,032.40x = 938,520.11
  5. Step 5: Solve for x
    x = 938,520.11/1,032.40
  6. Step 6: Final answer
    x = 909.07

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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.