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Finding the Fourth Proportional to 898.40, 1,239.72 and 505.46

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Solution

The fourth proportional to 898.40, 1,239.72 and 505.46 is: 697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.40 : 1,239.72 = 505.46 : x
  2. Step 2: Convert to fraction form
    898.40/1,239.72 = 505.46/x
  3. Step 3: Cross multiply
    898.40x = 1,239.72 × 505.46
  4. Step 4: Simplify right side
    898.40x = 626,628.87
  5. Step 5: Solve for x
    x = 626,628.87/898.40
  6. Step 6: Final answer
    x = 697.49

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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.