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Finding the Fourth Proportional to 586.53, 808.83 and 389.70

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Solution

The fourth proportional to 586.53, 808.83 and 389.70 is: 537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.53 : 808.83 = 389.70 : x
  2. Step 2: Convert to fraction form
    586.53/808.83 = 389.70/x
  3. Step 3: Cross multiply
    586.53x = 808.83 × 389.70
  4. Step 4: Simplify right side
    586.53x = 315,201.05
  5. Step 5: Solve for x
    x = 315,201.05/586.53
  6. Step 6: Final answer
    x = 537.40

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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.