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Finding the Fourth Proportional to 567.19, 782.62 and 370.66

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Solution

The fourth proportional to 567.19, 782.62 and 370.66 is: 511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.19 : 782.62 = 370.66 : x
  2. Step 2: Convert to fraction form
    567.19/782.62 = 370.66/x
  3. Step 3: Cross multiply
    567.19x = 782.62 × 370.66
  4. Step 4: Simplify right side
    567.19x = 290,085.93
  5. Step 5: Solve for x
    x = 290,085.93/567.19
  6. Step 6: Final answer
    x = 511.44

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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.