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Finding the Fourth Proportional to 586.79, 875.61 and 582.74

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Solution

The fourth proportional to 586.79, 875.61 and 582.74 is: 869.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.79 : 875.61 = 582.74 : x
  2. Step 2: Convert to fraction form
    586.79/875.61 = 582.74/x
  3. Step 3: Cross multiply
    586.79x = 875.61 × 582.74
  4. Step 4: Simplify right side
    586.79x = 510,252.97
  5. Step 5: Solve for x
    x = 510,252.97/586.79
  6. Step 6: Final answer
    x = 869.57

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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.