Home / 1,381.16-2,070.70-456.20

Finding the Fourth Proportional to 1,381.16, 2,070.70 and 456.20

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Solution

The fourth proportional to 1,381.16, 2,070.70 and 456.20 is: 683.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.16 : 2,070.70 = 456.20 : x
  2. Step 2: Convert to fraction form
    1,381.16/2,070.70 = 456.20/x
  3. Step 3: Cross multiply
    1,381.16x = 2,070.70 × 456.20
  4. Step 4: Simplify right side
    1,381.16x = 944,653.34
  5. Step 5: Solve for x
    x = 944,653.34/1,381.16
  6. Step 6: Final answer
    x = 683.96

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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.