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Finding the Fourth Proportional to 977.01, 1,466.18 and 429.34

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Solution

The fourth proportional to 977.01, 1,466.18 and 429.34 is: 644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.01 : 1,466.18 = 429.34 : x
  2. Step 2: Convert to fraction form
    977.01/1,466.18 = 429.34/x
  3. Step 3: Cross multiply
    977.01x = 1,466.18 × 429.34
  4. Step 4: Simplify right side
    977.01x = 629,489.72
  5. Step 5: Solve for x
    x = 629,489.72/977.01
  6. Step 6: Final answer
    x = 644.30

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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.