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Finding the Fourth Proportional to 601.73, 831.51 and 454.10

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Solution

The fourth proportional to 601.73, 831.51 and 454.10 is: 627.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.73 : 831.51 = 454.10 : x
  2. Step 2: Convert to fraction form
    601.73/831.51 = 454.10/x
  3. Step 3: Cross multiply
    601.73x = 831.51 × 454.10
  4. Step 4: Simplify right side
    601.73x = 377,588.69
  5. Step 5: Solve for x
    x = 377,588.69/601.73
  6. Step 6: Final answer
    x = 627.51

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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.