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Finding the Fourth Proportional to 586.39, 874.80 and 540.26

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Solution

The fourth proportional to 586.39, 874.80 and 540.26 is: 805.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.39 : 874.80 = 540.26 : x
  2. Step 2: Convert to fraction form
    586.39/874.80 = 540.26/x
  3. Step 3: Cross multiply
    586.39x = 874.80 × 540.26
  4. Step 4: Simplify right side
    586.39x = 472,617.12
  5. Step 5: Solve for x
    x = 472,617.12/586.39
  6. Step 6: Final answer
    x = 805.98

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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.