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Finding the Fourth Proportional to 560.08, 837.55 and 405.79

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Solution

The fourth proportional to 560.08, 837.55 and 405.79 is: 606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.08 : 837.55 = 405.79 : x
  2. Step 2: Convert to fraction form
    560.08/837.55 = 405.79/x
  3. Step 3: Cross multiply
    560.08x = 837.55 × 405.79
  4. Step 4: Simplify right side
    560.08x = 339,871.34
  5. Step 5: Solve for x
    x = 339,871.34/560.08
  6. Step 6: Final answer
    x = 606.83

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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.