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Finding the Fourth Proportional to 1,407.61, 2,111.33 and 433.71

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Solution

The fourth proportional to 1,407.61, 2,111.33 and 433.71 is: 650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.61 : 2,111.33 = 433.71 : x
  2. Step 2: Convert to fraction form
    1,407.61/2,111.33 = 433.71/x
  3. Step 3: Cross multiply
    1,407.61x = 2,111.33 × 433.71
  4. Step 4: Simplify right side
    1,407.61x = 915,706.02
  5. Step 5: Solve for x
    x = 915,706.02/1,407.61
  6. Step 6: Final answer
    x = 650.54

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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.