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Finding the Fourth Proportional to 569.50, 847.73 and 542.95

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Solution

The fourth proportional to 569.50, 847.73 and 542.95 is: 808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.50 : 847.73 = 542.95 : x
  2. Step 2: Convert to fraction form
    569.50/847.73 = 542.95/x
  3. Step 3: Cross multiply
    569.50x = 847.73 × 542.95
  4. Step 4: Simplify right side
    569.50x = 460,275.00
  5. Step 5: Solve for x
    x = 460,275.00/569.50
  6. Step 6: Final answer
    x = 808.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.