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Finding the Fourth Proportional to 587.64, 870.42 and 581.16

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Solution

The fourth proportional to 587.64, 870.42 and 581.16 is: 860.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.64 : 870.42 = 581.16 : x
  2. Step 2: Convert to fraction form
    587.64/870.42 = 581.16/x
  3. Step 3: Cross multiply
    587.64x = 870.42 × 581.16
  4. Step 4: Simplify right side
    587.64x = 505,853.29
  5. Step 5: Solve for x
    x = 505,853.29/587.64
  6. Step 6: Final answer
    x = 860.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.