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Finding the Fourth Proportional to 535.19, 737.10 and 472.68

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Solution

The fourth proportional to 535.19, 737.10 and 472.68 is: 651.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.19 : 737.10 = 472.68 : x
  2. Step 2: Convert to fraction form
    535.19/737.10 = 472.68/x
  3. Step 3: Cross multiply
    535.19x = 737.10 × 472.68
  4. Step 4: Simplify right side
    535.19x = 348,412.43
  5. Step 5: Solve for x
    x = 348,412.43/535.19
  6. Step 6: Final answer
    x = 651.01

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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.