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Finding the Fourth Proportional to 1,301.58, 1,951.35 and 651.98

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Solution

The fourth proportional to 1,301.58, 1,951.35 and 651.98 is: 977.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.58 : 1,951.35 = 651.98 : x
  2. Step 2: Convert to fraction form
    1,301.58/1,951.35 = 651.98/x
  3. Step 3: Cross multiply
    1,301.58x = 1,951.35 × 651.98
  4. Step 4: Simplify right side
    1,301.58x = 1,272,241.17
  5. Step 5: Solve for x
    x = 1,272,241.17/1,301.58
  6. Step 6: Final answer
    x = 977.46

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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.