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Finding the Fourth Proportional to 504.25, 760.22 and 469.03

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Solution

The fourth proportional to 504.25, 760.22 and 469.03 is: 707.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.25 : 760.22 = 469.03 : x
  2. Step 2: Convert to fraction form
    504.25/760.22 = 469.03/x
  3. Step 3: Cross multiply
    504.25x = 760.22 × 469.03
  4. Step 4: Simplify right side
    504.25x = 356,565.99
  5. Step 5: Solve for x
    x = 356,565.99/504.25
  6. Step 6: Final answer
    x = 707.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.