Home / 1,045.29-1,442.57-761.77

Finding the Fourth Proportional to 1,045.29, 1,442.57 and 761.77

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Solution

The fourth proportional to 1,045.29, 1,442.57 and 761.77 is: 1,051.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.29 : 1,442.57 = 761.77 : x
  2. Step 2: Convert to fraction form
    1,045.29/1,442.57 = 761.77/x
  3. Step 3: Cross multiply
    1,045.29x = 1,442.57 × 761.77
  4. Step 4: Simplify right side
    1,045.29x = 1,098,905.84
  5. Step 5: Solve for x
    x = 1,098,905.84/1,045.29
  6. Step 6: Final answer
    x = 1,051.29

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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.