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Finding the Fourth Proportional to 469.72, 705.66 and 442.72

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Solution

The fourth proportional to 469.72, 705.66 and 442.72 is: 665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.72 : 705.66 = 442.72 : x
  2. Step 2: Convert to fraction form
    469.72/705.66 = 442.72/x
  3. Step 3: Cross multiply
    469.72x = 705.66 × 442.72
  4. Step 4: Simplify right side
    469.72x = 312,409.80
  5. Step 5: Solve for x
    x = 312,409.80/469.72
  6. Step 6: Final answer
    x = 665.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.