Home / 1,400.19-1,931.96-840.59

Finding the Fourth Proportional to 1,400.19, 1,931.96 and 840.59

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Solution

The fourth proportional to 1,400.19, 1,931.96 and 840.59 is: 1,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.19 : 1,931.96 = 840.59 : x
  2. Step 2: Convert to fraction form
    1,400.19/1,931.96 = 840.59/x
  3. Step 3: Cross multiply
    1,400.19x = 1,931.96 × 840.59
  4. Step 4: Simplify right side
    1,400.19x = 1,623,972.39
  5. Step 5: Solve for x
    x = 1,623,972.39/1,400.19
  6. Step 6: Final answer
    x = 1,159.82

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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.