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Finding the Fourth Proportional to 505.12, 752.60 and 472

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Solution

The fourth proportional to 505.12, 752.60 and 472 is: 703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.12 : 752.60 = 472 : x
  2. Step 2: Convert to fraction form
    505.12/752.60 = 472/x
  3. Step 3: Cross multiply
    505.12x = 752.60 × 472
  4. Step 4: Simplify right side
    505.12x = 355,227.20
  5. Step 5: Solve for x
    x = 355,227.20/505.12
  6. Step 6: Final answer
    x = 703.25

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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.