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Finding the Fourth Proportional to 525.53, 783.61 and 472.46

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Solution

The fourth proportional to 525.53, 783.61 and 472.46 is: 704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.53 : 783.61 = 472.46 : x
  2. Step 2: Convert to fraction form
    525.53/783.61 = 472.46/x
  3. Step 3: Cross multiply
    525.53x = 783.61 × 472.46
  4. Step 4: Simplify right side
    525.53x = 370,219.28
  5. Step 5: Solve for x
    x = 370,219.28/525.53
  6. Step 6: Final answer
    x = 704.47

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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.