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Finding the Fourth Proportional to 587.06, 808.62 and 470.42

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Solution

The fourth proportional to 587.06, 808.62 and 470.42 is: 647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.06 : 808.62 = 470.42 : x
  2. Step 2: Convert to fraction form
    587.06/808.62 = 470.42/x
  3. Step 3: Cross multiply
    587.06x = 808.62 × 470.42
  4. Step 4: Simplify right side
    587.06x = 380,391.02
  5. Step 5: Solve for x
    x = 380,391.02/587.06
  6. Step 6: Final answer
    x = 647.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.