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Finding the Fourth Proportional to 553.66, 831.10 and 468.05

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Solution

The fourth proportional to 553.66, 831.10 and 468.05 is: 702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.66 : 831.10 = 468.05 : x
  2. Step 2: Convert to fraction form
    553.66/831.10 = 468.05/x
  3. Step 3: Cross multiply
    553.66x = 831.10 × 468.05
  4. Step 4: Simplify right side
    553.66x = 388,997.26
  5. Step 5: Solve for x
    x = 388,997.26/553.66
  6. Step 6: Final answer
    x = 702.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.