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Finding the Fourth Proportional to 651.70, 977.62 and 514.55

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Solution

The fourth proportional to 651.70, 977.62 and 514.55 is: 771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.70 : 977.62 = 514.55 : x
  2. Step 2: Convert to fraction form
    651.70/977.62 = 514.55/x
  3. Step 3: Cross multiply
    651.70x = 977.62 × 514.55
  4. Step 4: Simplify right side
    651.70x = 503,036.49
  5. Step 5: Solve for x
    x = 503,036.49/651.70
  6. Step 6: Final answer
    x = 771.89

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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.