Home / 1,156.30-1,595.28-757.84

Finding the Fourth Proportional to 1,156.30, 1,595.28 and 757.84

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Solution

The fourth proportional to 1,156.30, 1,595.28 and 757.84 is: 1,045.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.30 : 1,595.28 = 757.84 : x
  2. Step 2: Convert to fraction form
    1,156.30/1,595.28 = 757.84/x
  3. Step 3: Cross multiply
    1,156.30x = 1,595.28 × 757.84
  4. Step 4: Simplify right side
    1,156.30x = 1,208,967.00
  5. Step 5: Solve for x
    x = 1,208,967.00/1,156.30
  6. Step 6: Final answer
    x = 1,045.55

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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.