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Finding the Fourth Proportional to 507.60, 695.34 and 506.16

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Solution

The fourth proportional to 507.60, 695.34 and 506.16 is: 693.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.60 : 695.34 = 506.16 : x
  2. Step 2: Convert to fraction form
    507.60/695.34 = 506.16/x
  3. Step 3: Cross multiply
    507.60x = 695.34 × 506.16
  4. Step 4: Simplify right side
    507.60x = 351,953.29
  5. Step 5: Solve for x
    x = 351,953.29/507.60
  6. Step 6: Final answer
    x = 693.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.