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Finding the Fourth Proportional to 587.04, 805.26 and 535.20

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Solution

The fourth proportional to 587.04, 805.26 and 535.20 is: 734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.04 : 805.26 = 535.20 : x
  2. Step 2: Convert to fraction form
    587.04/805.26 = 535.20/x
  3. Step 3: Cross multiply
    587.04x = 805.26 × 535.20
  4. Step 4: Simplify right side
    587.04x = 430,975.15
  5. Step 5: Solve for x
    x = 430,975.15/587.04
  6. Step 6: Final answer
    x = 734.15

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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.