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Finding the Fourth Proportional to 586.40, 875.68 and 513.50

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Solution

The fourth proportional to 586.40, 875.68 and 513.50 is: 766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.40 : 875.68 = 513.50 : x
  2. Step 2: Convert to fraction form
    586.40/875.68 = 513.50/x
  3. Step 3: Cross multiply
    586.40x = 875.68 × 513.50
  4. Step 4: Simplify right side
    586.40x = 449,661.68
  5. Step 5: Solve for x
    x = 449,661.68/586.40
  6. Step 6: Final answer
    x = 766.82

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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.