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Finding the Fourth Proportional to 503.30, 695.13 and 401.06

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Solution

The fourth proportional to 503.30, 695.13 and 401.06 is: 553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.30 : 695.13 = 401.06 : x
  2. Step 2: Convert to fraction form
    503.30/695.13 = 401.06/x
  3. Step 3: Cross multiply
    503.30x = 695.13 × 401.06
  4. Step 4: Simplify right side
    503.30x = 278,788.84
  5. Step 5: Solve for x
    x = 278,788.84/503.30
  6. Step 6: Final answer
    x = 553.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.