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Finding the Fourth Proportional to 586.16, 877.63 and 380.22

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Solution

The fourth proportional to 586.16, 877.63 and 380.22 is: 569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.16 : 877.63 = 380.22 : x
  2. Step 2: Convert to fraction form
    586.16/877.63 = 380.22/x
  3. Step 3: Cross multiply
    586.16x = 877.63 × 380.22
  4. Step 4: Simplify right side
    586.16x = 333,692.48
  5. Step 5: Solve for x
    x = 333,692.48/586.16
  6. Step 6: Final answer
    x = 569.29

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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.