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Finding the Fourth Proportional to 977.42, 1,465.79 and 861.99

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Solution

The fourth proportional to 977.42, 1,465.79 and 861.99 is: 1,292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.42 : 1,465.79 = 861.99 : x
  2. Step 2: Convert to fraction form
    977.42/1,465.79 = 861.99/x
  3. Step 3: Cross multiply
    977.42x = 1,465.79 × 861.99
  4. Step 4: Simplify right side
    977.42x = 1,263,492.01
  5. Step 5: Solve for x
    x = 1,263,492.01/977.42
  6. Step 6: Final answer
    x = 1,292.69

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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.