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Finding the Fourth Proportional to 935.42, 1,401.98 and 473.51

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Solution

The fourth proportional to 935.42, 1,401.98 and 473.51 is: 709.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.42 : 1,401.98 = 473.51 : x
  2. Step 2: Convert to fraction form
    935.42/1,401.98 = 473.51/x
  3. Step 3: Cross multiply
    935.42x = 1,401.98 × 473.51
  4. Step 4: Simplify right side
    935.42x = 663,852.69
  5. Step 5: Solve for x
    x = 663,852.69/935.42
  6. Step 6: Final answer
    x = 709.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.