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Finding the Fourth Proportional to 978.11, 1,466.64 and 429.65

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Solution

The fourth proportional to 978.11, 1,466.64 and 429.65 is: 644.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.11 : 1,466.64 = 429.65 : x
  2. Step 2: Convert to fraction form
    978.11/1,466.64 = 429.65/x
  3. Step 3: Cross multiply
    978.11x = 1,466.64 × 429.65
  4. Step 4: Simplify right side
    978.11x = 630,141.88
  5. Step 5: Solve for x
    x = 630,141.88/978.11
  6. Step 6: Final answer
    x = 644.24

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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.