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Finding the Fourth Proportional to 469.27, 707.08 and 389.89

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Solution

The fourth proportional to 469.27, 707.08 and 389.89 is: 587.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.27 : 707.08 = 389.89 : x
  2. Step 2: Convert to fraction form
    469.27/707.08 = 389.89/x
  3. Step 3: Cross multiply
    469.27x = 707.08 × 389.89
  4. Step 4: Simplify right side
    469.27x = 275,683.42
  5. Step 5: Solve for x
    x = 275,683.42/469.27
  6. Step 6: Final answer
    x = 587.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.