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Finding the Fourth Proportional to 1,405.83, 2,109.16 and 432.08

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Solution

The fourth proportional to 1,405.83, 2,109.16 and 432.08 is: 648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.83 : 2,109.16 = 432.08 : x
  2. Step 2: Convert to fraction form
    1,405.83/2,109.16 = 432.08/x
  3. Step 3: Cross multiply
    1,405.83x = 2,109.16 × 432.08
  4. Step 4: Simplify right side
    1,405.83x = 911,323.76
  5. Step 5: Solve for x
    x = 911,323.76/1,405.83
  6. Step 6: Final answer
    x = 648.24

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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.