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Finding the Fourth Proportional to 567.59, 783.09 and 434.92

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Solution

The fourth proportional to 567.59, 783.09 and 434.92 is: 600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.59 : 783.09 = 434.92 : x
  2. Step 2: Convert to fraction form
    567.59/783.09 = 434.92/x
  3. Step 3: Cross multiply
    567.59x = 783.09 × 434.92
  4. Step 4: Simplify right side
    567.59x = 340,577.37
  5. Step 5: Solve for x
    x = 340,577.37/567.59
  6. Step 6: Final answer
    x = 600.04

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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.