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Finding the Fourth Proportional to 1,339.50, 1,848.51 and 896.70

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Solution

The fourth proportional to 1,339.50, 1,848.51 and 896.70 is: 1,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.50 : 1,848.51 = 896.70 : x
  2. Step 2: Convert to fraction form
    1,339.50/1,848.51 = 896.70/x
  3. Step 3: Cross multiply
    1,339.50x = 1,848.51 × 896.70
  4. Step 4: Simplify right side
    1,339.50x = 1,657,558.92
  5. Step 5: Solve for x
    x = 1,657,558.92/1,339.50
  6. Step 6: Final answer
    x = 1,237.45

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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.