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Finding the Fourth Proportional to 507.16, 702.88 and 499.48

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Solution

The fourth proportional to 507.16, 702.88 and 499.48 is: 692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.16 : 702.88 = 499.48 : x
  2. Step 2: Convert to fraction form
    507.16/702.88 = 499.48/x
  3. Step 3: Cross multiply
    507.16x = 702.88 × 499.48
  4. Step 4: Simplify right side
    507.16x = 351,074.50
  5. Step 5: Solve for x
    x = 351,074.50/507.16
  6. Step 6: Final answer
    x = 692.24

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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.