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Finding the Fourth Proportional to 1,358.92, 1,875.18 and 835.48

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Solution

The fourth proportional to 1,358.92, 1,875.18 and 835.48 is: 1,152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.92 : 1,875.18 = 835.48 : x
  2. Step 2: Convert to fraction form
    1,358.92/1,875.18 = 835.48/x
  3. Step 3: Cross multiply
    1,358.92x = 1,875.18 × 835.48
  4. Step 4: Simplify right side
    1,358.92x = 1,566,675.39
  5. Step 5: Solve for x
    x = 1,566,675.39/1,358.92
  6. Step 6: Final answer
    x = 1,152.88

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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.