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Finding the Fourth Proportional to 717.81, 990.59 and 407.25

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Solution

The fourth proportional to 717.81, 990.59 and 407.25 is: 562.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.81 : 990.59 = 407.25 : x
  2. Step 2: Convert to fraction form
    717.81/990.59 = 407.25/x
  3. Step 3: Cross multiply
    717.81x = 990.59 × 407.25
  4. Step 4: Simplify right side
    717.81x = 403,415.74
  5. Step 5: Solve for x
    x = 403,415.74/717.81
  6. Step 6: Final answer
    x = 562.01

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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.