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Finding the Fourth Proportional to 626.24, 865.44 and 507.98

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Solution

The fourth proportional to 626.24, 865.44 and 507.98 is: 702.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.24 : 865.44 = 507.98 : x
  2. Step 2: Convert to fraction form
    626.24/865.44 = 507.98/x
  3. Step 3: Cross multiply
    626.24x = 865.44 × 507.98
  4. Step 4: Simplify right side
    626.24x = 439,626.21
  5. Step 5: Solve for x
    x = 439,626.21/626.24
  6. Step 6: Final answer
    x = 702.01

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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.