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Finding the Fourth Proportional to 652.40, 978.58 and 287.50

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Solution

The fourth proportional to 652.40, 978.58 and 287.50 is: 431.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.40 : 978.58 = 287.50 : x
  2. Step 2: Convert to fraction form
    652.40/978.58 = 287.50/x
  3. Step 3: Cross multiply
    652.40x = 978.58 × 287.50
  4. Step 4: Simplify right side
    652.40x = 281,341.75
  5. Step 5: Solve for x
    x = 281,341.75/652.40
  6. Step 6: Final answer
    x = 431.24

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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.