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Finding the Fourth Proportional to 930.05, 1,282.42 and 593.50

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Solution

The fourth proportional to 930.05, 1,282.42 and 593.50 is: 818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.05 : 1,282.42 = 593.50 : x
  2. Step 2: Convert to fraction form
    930.05/1,282.42 = 593.50/x
  3. Step 3: Cross multiply
    930.05x = 1,282.42 × 593.50
  4. Step 4: Simplify right side
    930.05x = 761,113.30
  5. Step 5: Solve for x
    x = 761,113.30/930.05
  6. Step 6: Final answer
    x = 818.36

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1.5x scale

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.