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Finding the Fourth Proportional to 840.97, 1,159.59 and 592.21

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Solution

The fourth proportional to 840.97, 1,159.59 and 592.21 is: 816.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.97 : 1,159.59 = 592.21 : x
  2. Step 2: Convert to fraction form
    840.97/1,159.59 = 592.21/x
  3. Step 3: Cross multiply
    840.97x = 1,159.59 × 592.21
  4. Step 4: Simplify right side
    840.97x = 686,720.79
  5. Step 5: Solve for x
    x = 686,720.79/840.97
  6. Step 6: Final answer
    x = 816.58

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1.5x scale

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.