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Finding the Fourth Proportional to 650.10, 978.95 and 468.75

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Solution

The fourth proportional to 650.10, 978.95 and 468.75 is: 705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.10 : 978.95 = 468.75 : x
  2. Step 2: Convert to fraction form
    650.10/978.95 = 468.75/x
  3. Step 3: Cross multiply
    650.10x = 978.95 × 468.75
  4. Step 4: Simplify right side
    650.10x = 458,880.47
  5. Step 5: Solve for x
    x = 458,880.47/650.10
  6. Step 6: Final answer
    x = 705.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.