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Finding the Fourth Proportional to 570.50, 860.24 and 463.58

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Solution

The fourth proportional to 570.50, 860.24 and 463.58 is: 699.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.50 : 860.24 = 463.58 : x
  2. Step 2: Convert to fraction form
    570.50/860.24 = 463.58/x
  3. Step 3: Cross multiply
    570.50x = 860.24 × 463.58
  4. Step 4: Simplify right side
    570.50x = 398,790.06
  5. Step 5: Solve for x
    x = 398,790.06/570.50
  6. Step 6: Final answer
    x = 699.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.