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Finding the Fourth Proportional to 771.02, 1,156.12 and 711.08

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Solution

The fourth proportional to 771.02, 1,156.12 and 711.08 is: 1,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.02 : 1,156.12 = 711.08 : x
  2. Step 2: Convert to fraction form
    771.02/1,156.12 = 711.08/x
  3. Step 3: Cross multiply
    771.02x = 1,156.12 × 711.08
  4. Step 4: Simplify right side
    771.02x = 822,093.81
  5. Step 5: Solve for x
    x = 822,093.81/771.02
  6. Step 6: Final answer
    x = 1,066.24

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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.