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Finding the Fourth Proportional to 776.18, 1,165.08 and 570.98

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Solution

The fourth proportional to 776.18, 1,165.08 and 570.98 is: 857.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.18 : 1,165.08 = 570.98 : x
  2. Step 2: Convert to fraction form
    776.18/1,165.08 = 570.98/x
  3. Step 3: Cross multiply
    776.18x = 1,165.08 × 570.98
  4. Step 4: Simplify right side
    776.18x = 665,237.38
  5. Step 5: Solve for x
    x = 665,237.38/776.18
  6. Step 6: Final answer
    x = 857.07

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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.