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Finding the Fourth Proportional to 567.80, 783.57 and 319.18

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Solution

The fourth proportional to 567.80, 783.57 and 319.18 is: 440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.80 : 783.57 = 319.18 : x
  2. Step 2: Convert to fraction form
    567.80/783.57 = 319.18/x
  3. Step 3: Cross multiply
    567.80x = 783.57 × 319.18
  4. Step 4: Simplify right side
    567.80x = 250,095.95
  5. Step 5: Solve for x
    x = 250,095.95/567.80
  6. Step 6: Final answer
    x = 440.46

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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.