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Finding the Fourth Proportional to 776.48, 1,165.13 and 603.50

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Solution

The fourth proportional to 776.48, 1,165.13 and 603.50 is: 905.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.48 : 1,165.13 = 603.50 : x
  2. Step 2: Convert to fraction form
    776.48/1,165.13 = 603.50/x
  3. Step 3: Cross multiply
    776.48x = 1,165.13 × 603.50
  4. Step 4: Simplify right side
    776.48x = 703,151.64
  5. Step 5: Solve for x
    x = 703,151.64/776.48
  6. Step 6: Final answer
    x = 905.57

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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.