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Finding the Fourth Proportional to 651.40, 977.14 and 468.34

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Solution

The fourth proportional to 651.40, 977.14 and 468.34 is: 702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.40 : 977.14 = 468.34 : x
  2. Step 2: Convert to fraction form
    651.40/977.14 = 468.34/x
  3. Step 3: Cross multiply
    651.40x = 977.14 × 468.34
  4. Step 4: Simplify right side
    651.40x = 457,633.75
  5. Step 5: Solve for x
    x = 457,633.75/651.40
  6. Step 6: Final answer
    x = 702.54

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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.