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Finding the Fourth Proportional to 1,377.90, 1,901.70 and 1,045.77

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Solution

The fourth proportional to 1,377.90, 1,901.70 and 1,045.77 is: 1,443.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.90 : 1,901.70 = 1,045.77 : x
  2. Step 2: Convert to fraction form
    1,377.90/1,901.70 = 1,045.77/x
  3. Step 3: Cross multiply
    1,377.90x = 1,901.70 × 1,045.77
  4. Step 4: Simplify right side
    1,377.90x = 1,988,740.81
  5. Step 5: Solve for x
    x = 1,988,740.81/1,377.90
  6. Step 6: Final answer
    x = 1,443.31

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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.