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Finding the Fourth Proportional to 898.04, 1,347.02 and 350.32

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Solution

The fourth proportional to 898.04, 1,347.02 and 350.32 is: 525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.04 : 1,347.02 = 350.32 : x
  2. Step 2: Convert to fraction form
    898.04/1,347.02 = 350.32/x
  3. Step 3: Cross multiply
    898.04x = 1,347.02 × 350.32
  4. Step 4: Simplify right side
    898.04x = 471,888.05
  5. Step 5: Solve for x
    x = 471,888.05/898.04
  6. Step 6: Final answer
    x = 525.46

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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.