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Finding the Fourth Proportional to 651.78, 979.47 and 469.53

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Solution

The fourth proportional to 651.78, 979.47 and 469.53 is: 705.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.78 : 979.47 = 469.53 : x
  2. Step 2: Convert to fraction form
    651.78/979.47 = 469.53/x
  3. Step 3: Cross multiply
    651.78x = 979.47 × 469.53
  4. Step 4: Simplify right side
    651.78x = 459,890.55
  5. Step 5: Solve for x
    x = 459,890.55/651.78
  6. Step 6: Final answer
    x = 705.59

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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.