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Finding the Fourth Proportional to 1,358.23, 1,875.23 and 933.57

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Solution

The fourth proportional to 1,358.23, 1,875.23 and 933.57 is: 1,288.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.23 : 1,875.23 = 933.57 : x
  2. Step 2: Convert to fraction form
    1,358.23/1,875.23 = 933.57/x
  3. Step 3: Cross multiply
    1,358.23x = 1,875.23 × 933.57
  4. Step 4: Simplify right side
    1,358.23x = 1,750,654.94
  5. Step 5: Solve for x
    x = 1,750,654.94/1,358.23
  6. Step 6: Final answer
    x = 1,288.92

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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.