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Finding the Fourth Proportional to 586, 877.75 and 379.96

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Solution

The fourth proportional to 586, 877.75 and 379.96 is: 569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    586 : 877.75 = 379.96 : x
  2. Step 2: Convert to fraction form
    586/877.75 = 379.96/x
  3. Step 3: Cross multiply
    586x = 877.75 × 379.96
  4. Step 4: Simplify right side
    586x = 333,509.89
  5. Step 5: Solve for x
    x = 333,509.89/586
  6. Step 6: Final answer
    x = 569.13

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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.