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Finding the Fourth Proportional to 898.19, 1,237.50 and 602.94

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Solution

The fourth proportional to 898.19, 1,237.50 and 602.94 is: 830.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.19 : 1,237.50 = 602.94 : x
  2. Step 2: Convert to fraction form
    898.19/1,237.50 = 602.94/x
  3. Step 3: Cross multiply
    898.19x = 1,237.50 × 602.94
  4. Step 4: Simplify right side
    898.19x = 746,138.25
  5. Step 5: Solve for x
    x = 746,138.25/898.19
  6. Step 6: Final answer
    x = 830.72

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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.