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Finding the Fourth Proportional to 977.61, 1,466.15 and 422.51

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Solution

The fourth proportional to 977.61, 1,466.15 and 422.51 is: 633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.61 : 1,466.15 = 422.51 : x
  2. Step 2: Convert to fraction form
    977.61/1,466.15 = 422.51/x
  3. Step 3: Cross multiply
    977.61x = 1,466.15 × 422.51
  4. Step 4: Simplify right side
    977.61x = 619,457.88
  5. Step 5: Solve for x
    x = 619,457.88/977.61
  6. Step 6: Final answer
    x = 633.65

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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.