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Finding the Fourth Proportional to 535.60, 738.68 and 473.48

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Solution

The fourth proportional to 535.60, 738.68 and 473.48 is: 653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.60 : 738.68 = 473.48 : x
  2. Step 2: Convert to fraction form
    535.60/738.68 = 473.48/x
  3. Step 3: Cross multiply
    535.60x = 738.68 × 473.48
  4. Step 4: Simplify right side
    535.60x = 349,750.21
  5. Step 5: Solve for x
    x = 349,750.21/535.60
  6. Step 6: Final answer
    x = 653.01

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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.