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Finding the Fourth Proportional to 619.12, 858.46 and 586.32

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Solution

The fourth proportional to 619.12, 858.46 and 586.32 is: 812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.12 : 858.46 = 586.32 : x
  2. Step 2: Convert to fraction form
    619.12/858.46 = 586.32/x
  3. Step 3: Cross multiply
    619.12x = 858.46 × 586.32
  4. Step 4: Simplify right side
    619.12x = 503,332.27
  5. Step 5: Solve for x
    x = 503,332.27/619.12
  6. Step 6: Final answer
    x = 812.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.