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Finding the Fourth Proportional to 457.92, 689.40 and 355.77

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Solution

The fourth proportional to 457.92, 689.40 and 355.77 is: 535.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.92 : 689.40 = 355.77 : x
  2. Step 2: Convert to fraction form
    457.92/689.40 = 355.77/x
  3. Step 3: Cross multiply
    457.92x = 689.40 × 355.77
  4. Step 4: Simplify right side
    457.92x = 245,267.84
  5. Step 5: Solve for x
    x = 245,267.84/457.92
  6. Step 6: Final answer
    x = 535.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.