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Finding the Fourth Proportional to 743.18, 1,025.57 and 407.08

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Solution

The fourth proportional to 743.18, 1,025.57 and 407.08 is: 561.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.18 : 1,025.57 = 407.08 : x
  2. Step 2: Convert to fraction form
    743.18/1,025.57 = 407.08/x
  3. Step 3: Cross multiply
    743.18x = 1,025.57 × 407.08
  4. Step 4: Simplify right side
    743.18x = 417,481.87
  5. Step 5: Solve for x
    x = 417,481.87/743.18
  6. Step 6: Final answer
    x = 561.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.