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Finding the Fourth Proportional to 504.63, 691.34 and 486.18

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Solution

The fourth proportional to 504.63, 691.34 and 486.18 is: 666.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.63 : 691.34 = 486.18 : x
  2. Step 2: Convert to fraction form
    504.63/691.34 = 486.18/x
  3. Step 3: Cross multiply
    504.63x = 691.34 × 486.18
  4. Step 4: Simplify right side
    504.63x = 336,113.25
  5. Step 5: Solve for x
    x = 336,113.25/504.63
  6. Step 6: Final answer
    x = 666.06

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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.