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Finding the Fourth Proportional to 1,333.47, 2,000.33 and 346.29

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Solution

The fourth proportional to 1,333.47, 2,000.33 and 346.29 is: 519.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.47 : 2,000.33 = 346.29 : x
  2. Step 2: Convert to fraction form
    1,333.47/2,000.33 = 346.29/x
  3. Step 3: Cross multiply
    1,333.47x = 2,000.33 × 346.29
  4. Step 4: Simplify right side
    1,333.47x = 692,686.34
  5. Step 5: Solve for x
    x = 692,686.34/1,333.47
  6. Step 6: Final answer
    x = 519.46

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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.