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Finding the Fourth Proportional to 570.13, 854.96 and 205.02

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Solution

The fourth proportional to 570.13, 854.96 and 205.02 is: 307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.13 : 854.96 = 205.02 : x
  2. Step 2: Convert to fraction form
    570.13/854.96 = 205.02/x
  3. Step 3: Cross multiply
    570.13x = 854.96 × 205.02
  4. Step 4: Simplify right side
    570.13x = 175,284.41
  5. Step 5: Solve for x
    x = 175,284.41/570.13
  6. Step 6: Final answer
    x = 307.45

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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.