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Finding the Fourth Proportional to 898.64, 1,348.14 and 350.83

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Solution

The fourth proportional to 898.64, 1,348.14 and 350.83 is: 526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.64 : 1,348.14 = 350.83 : x
  2. Step 2: Convert to fraction form
    898.64/1,348.14 = 350.83/x
  3. Step 3: Cross multiply
    898.64x = 1,348.14 × 350.83
  4. Step 4: Simplify right side
    898.64x = 472,970.96
  5. Step 5: Solve for x
    x = 472,970.96/898.64
  6. Step 6: Final answer
    x = 526.32

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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.