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Finding the Fourth Proportional to 570, 854.88 and 407.22

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Solution

The fourth proportional to 570, 854.88 and 407.22 is: 610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    570 : 854.88 = 407.22 : x
  2. Step 2: Convert to fraction form
    570/854.88 = 407.22/x
  3. Step 3: Cross multiply
    570x = 854.88 × 407.22
  4. Step 4: Simplify right side
    570x = 348,124.23
  5. Step 5: Solve for x
    x = 348,124.23/570
  6. Step 6: Final answer
    x = 610.74

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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.