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Finding the Fourth Proportional to 462.04, 689.08 and 455.86

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Solution

The fourth proportional to 462.04, 689.08 and 455.86 is: 679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.04 : 689.08 = 455.86 : x
  2. Step 2: Convert to fraction form
    462.04/689.08 = 455.86/x
  3. Step 3: Cross multiply
    462.04x = 689.08 × 455.86
  4. Step 4: Simplify right side
    462.04x = 314,124.01
  5. Step 5: Solve for x
    x = 314,124.01/462.04
  6. Step 6: Final answer
    x = 679.86

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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.