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Finding the Fourth Proportional to 586.56, 878.16 and 465

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Solution

The fourth proportional to 586.56, 878.16 and 465 is: 696.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.56 : 878.16 = 465 : x
  2. Step 2: Convert to fraction form
    586.56/878.16 = 465/x
  3. Step 3: Cross multiply
    586.56x = 878.16 × 465
  4. Step 4: Simplify right side
    586.56x = 408,344.40
  5. Step 5: Solve for x
    x = 408,344.40/586.56
  6. Step 6: Final answer
    x = 696.17

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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.