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Finding the Fourth Proportional to 586.84, 875.96 and 517.64

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Solution

The fourth proportional to 586.84, 875.96 and 517.64 is: 772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.84 : 875.96 = 517.64 : x
  2. Step 2: Convert to fraction form
    586.84/875.96 = 517.64/x
  3. Step 3: Cross multiply
    586.84x = 875.96 × 517.64
  4. Step 4: Simplify right side
    586.84x = 453,431.93
  5. Step 5: Solve for x
    x = 453,431.93/586.84
  6. Step 6: Final answer
    x = 772.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.