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Finding the Fourth Proportional to 570.10, 854.56 and 413.55

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Solution

The fourth proportional to 570.10, 854.56 and 413.55 is: 619.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.10 : 854.56 = 413.55 : x
  2. Step 2: Convert to fraction form
    570.10/854.56 = 413.55/x
  3. Step 3: Cross multiply
    570.10x = 854.56 × 413.55
  4. Step 4: Simplify right side
    570.10x = 353,396.95
  5. Step 5: Solve for x
    x = 353,396.95/570.10
  6. Step 6: Final answer
    x = 619.89

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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.