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Finding the Fourth Proportional to 1,674.80, 2,512.94 and 904.40

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Solution

The fourth proportional to 1,674.80, 2,512.94 and 904.40 is: 1,357.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.80 : 2,512.94 = 904.40 : x
  2. Step 2: Convert to fraction form
    1,674.80/2,512.94 = 904.40/x
  3. Step 3: Cross multiply
    1,674.80x = 2,512.94 × 904.40
  4. Step 4: Simplify right side
    1,674.80x = 2,272,702.94
  5. Step 5: Solve for x
    x = 2,272,702.94/1,674.80
  6. Step 6: Final answer
    x = 1,357.00

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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.