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Finding the Fourth Proportional to 1,407.69, 2,111.54 and 433.79

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Solution

The fourth proportional to 1,407.69, 2,111.54 and 433.79 is: 650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.69 : 2,111.54 = 433.79 : x
  2. Step 2: Convert to fraction form
    1,407.69/2,111.54 = 433.79/x
  3. Step 3: Cross multiply
    1,407.69x = 2,111.54 × 433.79
  4. Step 4: Simplify right side
    1,407.69x = 915,969.95
  5. Step 5: Solve for x
    x = 915,969.95/1,407.69
  6. Step 6: Final answer
    x = 650.69

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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.