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Finding the Fourth Proportional to 587.46, 815.55 and 569.64

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Solution

The fourth proportional to 587.46, 815.55 and 569.64 is: 790.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.46 : 815.55 = 569.64 : x
  2. Step 2: Convert to fraction form
    587.46/815.55 = 569.64/x
  3. Step 3: Cross multiply
    587.46x = 815.55 × 569.64
  4. Step 4: Simplify right side
    587.46x = 464,569.90
  5. Step 5: Solve for x
    x = 464,569.90/587.46
  6. Step 6: Final answer
    x = 790.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.