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Finding the Fourth Proportional to 633.42, 875.14 and 501.63

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Solution

The fourth proportional to 633.42, 875.14 and 501.63 is: 693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.42 : 875.14 = 501.63 : x
  2. Step 2: Convert to fraction form
    633.42/875.14 = 501.63/x
  3. Step 3: Cross multiply
    633.42x = 875.14 × 501.63
  4. Step 4: Simplify right side
    633.42x = 438,991.94
  5. Step 5: Solve for x
    x = 438,991.94/633.42
  6. Step 6: Final answer
    x = 693.05

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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.