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Finding the Fourth Proportional to 586.05, 877.28 and 380.20

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Solution

The fourth proportional to 586.05, 877.28 and 380.20 is: 569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.05 : 877.28 = 380.20 : x
  2. Step 2: Convert to fraction form
    586.05/877.28 = 380.20/x
  3. Step 3: Cross multiply
    586.05x = 877.28 × 380.20
  4. Step 4: Simplify right side
    586.05x = 333,541.86
  5. Step 5: Solve for x
    x = 333,541.86/586.05
  6. Step 6: Final answer
    x = 569.14

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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.