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Finding the Fourth Proportional to 651.65, 899.35 and 389.66

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Solution

The fourth proportional to 651.65, 899.35 and 389.66 is: 537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.65 : 899.35 = 389.66 : x
  2. Step 2: Convert to fraction form
    651.65/899.35 = 389.66/x
  3. Step 3: Cross multiply
    651.65x = 899.35 × 389.66
  4. Step 4: Simplify right side
    651.65x = 350,435.25
  5. Step 5: Solve for x
    x = 350,435.25/651.65
  6. Step 6: Final answer
    x = 537.77

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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.