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Finding the Fourth Proportional to 977.82, 1,466.32 and 457.72

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Solution

The fourth proportional to 977.82, 1,466.32 and 457.72 is: 686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.82 : 1,466.32 = 457.72 : x
  2. Step 2: Convert to fraction form
    977.82/1,466.32 = 457.72/x
  3. Step 3: Cross multiply
    977.82x = 1,466.32 × 457.72
  4. Step 4: Simplify right side
    977.82x = 671,163.99
  5. Step 5: Solve for x
    x = 671,163.99/977.82
  6. Step 6: Final answer
    x = 686.39

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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.