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Finding the Fourth Proportional to 586.89, 805.04 and 574.74

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Solution

The fourth proportional to 586.89, 805.04 and 574.74 is: 788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.89 : 805.04 = 574.74 : x
  2. Step 2: Convert to fraction form
    586.89/805.04 = 574.74/x
  3. Step 3: Cross multiply
    586.89x = 805.04 × 574.74
  4. Step 4: Simplify right side
    586.89x = 462,688.69
  5. Step 5: Solve for x
    x = 462,688.69/586.89
  6. Step 6: Final answer
    x = 788.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.