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Finding the Fourth Proportional to 570.14, 854.06 and 424.05

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Solution

The fourth proportional to 570.14, 854.06 and 424.05 is: 635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.14 : 854.06 = 424.05 : x
  2. Step 2: Convert to fraction form
    570.14/854.06 = 424.05/x
  3. Step 3: Cross multiply
    570.14x = 854.06 × 424.05
  4. Step 4: Simplify right side
    570.14x = 362,162.02
  5. Step 5: Solve for x
    x = 362,162.02/570.14
  6. Step 6: Final answer
    x = 635.21

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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.