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Finding the Fourth Proportional to 652.34, 978.42 and 287

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Solution

The fourth proportional to 652.34, 978.42 and 287 is: 430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.34 : 978.42 = 287 : x
  2. Step 2: Convert to fraction form
    652.34/978.42 = 287/x
  3. Step 3: Cross multiply
    652.34x = 978.42 × 287
  4. Step 4: Simplify right side
    652.34x = 280,806.54
  5. Step 5: Solve for x
    x = 280,806.54/652.34
  6. Step 6: Final answer
    x = 430.46

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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.