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Finding the Fourth Proportional to 652.03, 978.56 and 287.07

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Solution

The fourth proportional to 652.03, 978.56 and 287.07 is: 430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.03 : 978.56 = 287.07 : x
  2. Step 2: Convert to fraction form
    652.03/978.56 = 287.07/x
  3. Step 3: Cross multiply
    652.03x = 978.56 × 287.07
  4. Step 4: Simplify right side
    652.03x = 280,915.22
  5. Step 5: Solve for x
    x = 280,915.22/652.03
  6. Step 6: Final answer
    x = 430.83

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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.