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Finding the Fourth Proportional to 523.05, 783.69 and 317.00

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Solution

The fourth proportional to 523.05, 783.69 and 317.00 is: 474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.05 : 783.69 = 317.00 : x
  2. Step 2: Convert to fraction form
    523.05/783.69 = 317.00/x
  3. Step 3: Cross multiply
    523.05x = 783.69 × 317.00
  4. Step 4: Simplify right side
    523.05x = 248,425.81
  5. Step 5: Solve for x
    x = 248,425.81/523.05
  6. Step 6: Final answer
    x = 474.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.