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Finding the Fourth Proportional to 649.88, 978.65 and 468.54

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Solution

The fourth proportional to 649.88, 978.65 and 468.54 is: 705.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.88 : 978.65 = 468.54 : x
  2. Step 2: Convert to fraction form
    649.88/978.65 = 468.54/x
  3. Step 3: Cross multiply
    649.88x = 978.65 × 468.54
  4. Step 4: Simplify right side
    649.88x = 458,536.67
  5. Step 5: Solve for x
    x = 458,536.67/649.88
  6. Step 6: Final answer
    x = 705.57

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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.