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Finding the Fourth Proportional to 777.84, 1,167.08 and 322.16

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Solution

The fourth proportional to 777.84, 1,167.08 and 322.16 is: 483.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.84 : 1,167.08 = 322.16 : x
  2. Step 2: Convert to fraction form
    777.84/1,167.08 = 322.16/x
  3. Step 3: Cross multiply
    777.84x = 1,167.08 × 322.16
  4. Step 4: Simplify right side
    777.84x = 375,986.49
  5. Step 5: Solve for x
    x = 375,986.49/777.84
  6. Step 6: Final answer
    x = 483.37

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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.