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Finding the Fourth Proportional to 505.15, 697.13 and 284.05

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Solution

The fourth proportional to 505.15, 697.13 and 284.05 is: 392.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.15 : 697.13 = 284.05 : x
  2. Step 2: Convert to fraction form
    505.15/697.13 = 284.05/x
  3. Step 3: Cross multiply
    505.15x = 697.13 × 284.05
  4. Step 4: Simplify right side
    505.15x = 198,019.78
  5. Step 5: Solve for x
    x = 198,019.78/505.15
  6. Step 6: Final answer
    x = 392.00

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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.