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Finding the Fourth Proportional to 469.15, 702.09 and 414.07

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Solution

The fourth proportional to 469.15, 702.09 and 414.07 is: 619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.15 : 702.09 = 414.07 : x
  2. Step 2: Convert to fraction form
    469.15/702.09 = 414.07/x
  3. Step 3: Cross multiply
    469.15x = 702.09 × 414.07
  4. Step 4: Simplify right side
    469.15x = 290,712.65
  5. Step 5: Solve for x
    x = 290,712.65/469.15
  6. Step 6: Final answer
    x = 619.66

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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.