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Finding the Fourth Proportional to 525.20, 784.14 and 473.36

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Solution

The fourth proportional to 525.20, 784.14 and 473.36 is: 706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.20 : 784.14 = 473.36 : x
  2. Step 2: Convert to fraction form
    525.20/784.14 = 473.36/x
  3. Step 3: Cross multiply
    525.20x = 784.14 × 473.36
  4. Step 4: Simplify right side
    525.20x = 371,178.14
  5. Step 5: Solve for x
    x = 371,178.14/525.20
  6. Step 6: Final answer
    x = 706.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.