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Finding the Fourth Proportional to 1,048.58, 1,573.41 and 874.70

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Solution

The fourth proportional to 1,048.58, 1,573.41 and 874.70 is: 1,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.58 : 1,573.41 = 874.70 : x
  2. Step 2: Convert to fraction form
    1,048.58/1,573.41 = 874.70/x
  3. Step 3: Cross multiply
    1,048.58x = 1,573.41 × 874.70
  4. Step 4: Simplify right side
    1,048.58x = 1,376,261.73
  5. Step 5: Solve for x
    x = 1,376,261.73/1,048.58
  6. Step 6: Final answer
    x = 1,312.50

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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.