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Finding the Fourth Proportional to 586.29, 808.74 and 475.86

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Solution

The fourth proportional to 586.29, 808.74 and 475.86 is: 656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.29 : 808.74 = 475.86 : x
  2. Step 2: Convert to fraction form
    586.29/808.74 = 475.86/x
  3. Step 3: Cross multiply
    586.29x = 808.74 × 475.86
  4. Step 4: Simplify right side
    586.29x = 384,847.02
  5. Step 5: Solve for x
    x = 384,847.02/586.29
  6. Step 6: Final answer
    x = 656.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.