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Finding the Fourth Proportional to 570.02, 853.88 and 540.50

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Solution

The fourth proportional to 570.02, 853.88 and 540.50 is: 809.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.02 : 853.88 = 540.50 : x
  2. Step 2: Convert to fraction form
    570.02/853.88 = 540.50/x
  3. Step 3: Cross multiply
    570.02x = 853.88 × 540.50
  4. Step 4: Simplify right side
    570.02x = 461,522.14
  5. Step 5: Solve for x
    x = 461,522.14/570.02
  6. Step 6: Final answer
    x = 809.66

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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.