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Finding the Fourth Proportional to 504.15, 695.73 and 280.07

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Solution

The fourth proportional to 504.15, 695.73 and 280.07 is: 386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.15 : 695.73 = 280.07 : x
  2. Step 2: Convert to fraction form
    504.15/695.73 = 280.07/x
  3. Step 3: Cross multiply
    504.15x = 695.73 × 280.07
  4. Step 4: Simplify right side
    504.15x = 194,853.10
  5. Step 5: Solve for x
    x = 194,853.10/504.15
  6. Step 6: Final answer
    x = 386.50

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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.