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Finding the Fourth Proportional to 507.39, 702.04 and 442.03

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Solution

The fourth proportional to 507.39, 702.04 and 442.03 is: 611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.39 : 702.04 = 442.03 : x
  2. Step 2: Convert to fraction form
    507.39/702.04 = 442.03/x
  3. Step 3: Cross multiply
    507.39x = 702.04 × 442.03
  4. Step 4: Simplify right side
    507.39x = 310,325.24
  5. Step 5: Solve for x
    x = 310,325.24/507.39
  6. Step 6: Final answer
    x = 611.61

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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.