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Finding the Fourth Proportional to 507.10, 702.74 and 497.38

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Solution

The fourth proportional to 507.10, 702.74 and 497.38 is: 689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.10 : 702.74 = 497.38 : x
  2. Step 2: Convert to fraction form
    507.10/702.74 = 497.38/x
  3. Step 3: Cross multiply
    507.10x = 702.74 × 497.38
  4. Step 4: Simplify right side
    507.10x = 349,528.82
  5. Step 5: Solve for x
    x = 349,528.82/507.10
  6. Step 6: Final answer
    x = 689.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.