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Finding the Fourth Proportional to 569.76, 856.54 and 467.80

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Solution

The fourth proportional to 569.76, 856.54 and 467.80 is: 703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.76 : 856.54 = 467.80 : x
  2. Step 2: Convert to fraction form
    569.76/856.54 = 467.80/x
  3. Step 3: Cross multiply
    569.76x = 856.54 × 467.80
  4. Step 4: Simplify right side
    569.76x = 400,689.41
  5. Step 5: Solve for x
    x = 400,689.41/569.76
  6. Step 6: Final answer
    x = 703.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.