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Finding the Fourth Proportional to 840.66, 1,160.21 and 509.02

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Solution

The fourth proportional to 840.66, 1,160.21 and 509.02 is: 702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.66 : 1,160.21 = 509.02 : x
  2. Step 2: Convert to fraction form
    840.66/1,160.21 = 509.02/x
  3. Step 3: Cross multiply
    840.66x = 1,160.21 × 509.02
  4. Step 4: Simplify right side
    840.66x = 590,570.09
  5. Step 5: Solve for x
    x = 590,570.09/840.66
  6. Step 6: Final answer
    x = 702.51

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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.