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Finding the Fourth Proportional to 651.96, 904.59 and 646.38

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Solution

The fourth proportional to 651.96, 904.59 and 646.38 is: 896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.96 : 904.59 = 646.38 : x
  2. Step 2: Convert to fraction form
    651.96/904.59 = 646.38/x
  3. Step 3: Cross multiply
    651.96x = 904.59 × 646.38
  4. Step 4: Simplify right side
    651.96x = 584,708.88
  5. Step 5: Solve for x
    x = 584,708.88/651.96
  6. Step 6: Final answer
    x = 896.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.