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Finding the Fourth Proportional to 603.54, 831.64 and 463.65

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Solution

The fourth proportional to 603.54, 831.64 and 463.65 is: 638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.54 : 831.64 = 463.65 : x
  2. Step 2: Convert to fraction form
    603.54/831.64 = 463.65/x
  3. Step 3: Cross multiply
    603.54x = 831.64 × 463.65
  4. Step 4: Simplify right side
    603.54x = 385,589.89
  5. Step 5: Solve for x
    x = 385,589.89/603.54
  6. Step 6: Final answer
    x = 638.88

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1.5x scale

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.