Home / 1,380.50-2,070.76-340.51

Finding the Fourth Proportional to 1,380.50, 2,070.76 and 340.51

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Solution

The fourth proportional to 1,380.50, 2,070.76 and 340.51 is: 510.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.50 : 2,070.76 = 340.51 : x
  2. Step 2: Convert to fraction form
    1,380.50/2,070.76 = 340.51/x
  3. Step 3: Cross multiply
    1,380.50x = 2,070.76 × 340.51
  4. Step 4: Simplify right side
    1,380.50x = 705,108.46
  5. Step 5: Solve for x
    x = 705,108.46/1,380.50
  6. Step 6: Final answer
    x = 510.76

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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.