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Finding the Fourth Proportional to 410.70, 562.23 and 407.77

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Solution

The fourth proportional to 410.70, 562.23 and 407.77 is: 558.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.70 : 562.23 = 407.77 : x
  2. Step 2: Convert to fraction form
    410.70/562.23 = 407.77/x
  3. Step 3: Cross multiply
    410.70x = 562.23 × 407.77
  4. Step 4: Simplify right side
    410.70x = 229,258.10
  5. Step 5: Solve for x
    x = 229,258.10/410.70
  6. Step 6: Final answer
    x = 558.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.