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Finding the Fourth Proportional to 651.62, 978.06 and 531.34

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Solution

The fourth proportional to 651.62, 978.06 and 531.34 is: 797.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.62 : 978.06 = 531.34 : x
  2. Step 2: Convert to fraction form
    651.62/978.06 = 531.34/x
  3. Step 3: Cross multiply
    651.62x = 978.06 × 531.34
  4. Step 4: Simplify right side
    651.62x = 519,682.40
  5. Step 5: Solve for x
    x = 519,682.40/651.62
  6. Step 6: Final answer
    x = 797.52

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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.