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Finding the Fourth Proportional to 1,423.61, 2,135.34 and 383.65

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Solution

The fourth proportional to 1,423.61, 2,135.34 and 383.65 is: 575.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.61 : 2,135.34 = 383.65 : x
  2. Step 2: Convert to fraction form
    1,423.61/2,135.34 = 383.65/x
  3. Step 3: Cross multiply
    1,423.61x = 2,135.34 × 383.65
  4. Step 4: Simplify right side
    1,423.61x = 819,223.19
  5. Step 5: Solve for x
    x = 819,223.19/1,423.61
  6. Step 6: Final answer
    x = 575.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.