Home / 1,390.06-2,084.82-524.08

Finding the Fourth Proportional to 1,390.06, 2,084.82 and 524.08

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Solution

The fourth proportional to 1,390.06, 2,084.82 and 524.08 is: 786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.06 : 2,084.82 = 524.08 : x
  2. Step 2: Convert to fraction form
    1,390.06/2,084.82 = 524.08/x
  3. Step 3: Cross multiply
    1,390.06x = 2,084.82 × 524.08
  4. Step 4: Simplify right side
    1,390.06x = 1,092,612.47
  5. Step 5: Solve for x
    x = 1,092,612.47/1,390.06
  6. Step 6: Final answer
    x = 786.02

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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.