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Finding the Fourth Proportional to 465.04, 693.62 and 456.40

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Solution

The fourth proportional to 465.04, 693.62 and 456.40 is: 680.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.04 : 693.62 = 456.40 : x
  2. Step 2: Convert to fraction form
    465.04/693.62 = 456.40/x
  3. Step 3: Cross multiply
    465.04x = 693.62 × 456.40
  4. Step 4: Simplify right side
    465.04x = 316,568.17
  5. Step 5: Solve for x
    x = 316,568.17/465.04
  6. Step 6: Final answer
    x = 680.73

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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.