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Finding the Fourth Proportional to 652.16, 978.23 and 262.04

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Solution

The fourth proportional to 652.16, 978.23 and 262.04 is: 393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.16 : 978.23 = 262.04 : x
  2. Step 2: Convert to fraction form
    652.16/978.23 = 262.04/x
  3. Step 3: Cross multiply
    652.16x = 978.23 × 262.04
  4. Step 4: Simplify right side
    652.16x = 256,336.52
  5. Step 5: Solve for x
    x = 256,336.52/652.16
  6. Step 6: Final answer
    x = 393.06

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