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Finding the Fourth Proportional to 407.57, 606.93 and 398.00

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Solution

The fourth proportional to 407.57, 606.93 and 398.00 is: 592.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.57 : 606.93 = 398.00 : x
  2. Step 2: Convert to fraction form
    407.57/606.93 = 398.00/x
  3. Step 3: Cross multiply
    407.57x = 606.93 × 398.00
  4. Step 4: Simplify right side
    407.57x = 241,558.11
  5. Step 5: Solve for x
    x = 241,558.11/407.57
  6. Step 6: Final answer
    x = 592.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.