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Finding the Fourth Proportional to 777.48, 1,164.60 and 603.42

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Solution

The fourth proportional to 777.48, 1,164.60 and 603.42 is: 903.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.48 : 1,164.60 = 603.42 : x
  2. Step 2: Convert to fraction form
    777.48/1,164.60 = 603.42/x
  3. Step 3: Cross multiply
    777.48x = 1,164.60 × 603.42
  4. Step 4: Simplify right side
    777.48x = 702,742.93
  5. Step 5: Solve for x
    x = 702,742.93/777.48
  6. Step 6: Final answer
    x = 903.87

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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.