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Finding the Fourth Proportional to 567.75, 783.57 and 334.89

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Solution

The fourth proportional to 567.75, 783.57 and 334.89 is: 462.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.75 : 783.57 = 334.89 : x
  2. Step 2: Convert to fraction form
    567.75/783.57 = 334.89/x
  3. Step 3: Cross multiply
    567.75x = 783.57 × 334.89
  4. Step 4: Simplify right side
    567.75x = 262,409.76
  5. Step 5: Solve for x
    x = 262,409.76/567.75
  6. Step 6: Final answer
    x = 462.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.