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Finding the Fourth Proportional to 687.51, 948.72 and 407.74

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Solution

The fourth proportional to 687.51, 948.72 and 407.74 is: 562.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.51 : 948.72 = 407.74 : x
  2. Step 2: Convert to fraction form
    687.51/948.72 = 407.74/x
  3. Step 3: Cross multiply
    687.51x = 948.72 × 407.74
  4. Step 4: Simplify right side
    687.51x = 386,831.09
  5. Step 5: Solve for x
    x = 386,831.09/687.51
  6. Step 6: Final answer
    x = 562.66

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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.