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Finding the Fourth Proportional to 504.10, 695.13 and 399.02

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Solution

The fourth proportional to 504.10, 695.13 and 399.02 is: 550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.10 : 695.13 = 399.02 : x
  2. Step 2: Convert to fraction form
    504.10/695.13 = 399.02/x
  3. Step 3: Cross multiply
    504.10x = 695.13 × 399.02
  4. Step 4: Simplify right side
    504.10x = 277,368.78
  5. Step 5: Solve for x
    x = 277,368.78/504.10
  6. Step 6: Final answer
    x = 550.23

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Why These Related Problems?

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