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Finding the Fourth Proportional to 898.14, 1,347.93 and 638.40

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Solution

The fourth proportional to 898.14, 1,347.93 and 638.40 is: 958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.14 : 1,347.93 = 638.40 : x
  2. Step 2: Convert to fraction form
    898.14/1,347.93 = 638.40/x
  3. Step 3: Cross multiply
    898.14x = 1,347.93 × 638.40
  4. Step 4: Simplify right side
    898.14x = 860,518.51
  5. Step 5: Solve for x
    x = 860,518.51/898.14
  6. Step 6: Final answer
    x = 958.11

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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.