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Finding the Fourth Proportional to 840.57, 1,160.01 and 509.06

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Solution

The fourth proportional to 840.57, 1,160.01 and 509.06 is: 702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.57 : 1,160.01 = 509.06 : x
  2. Step 2: Convert to fraction form
    840.57/1,160.01 = 509.06/x
  3. Step 3: Cross multiply
    840.57x = 1,160.01 × 509.06
  4. Step 4: Simplify right side
    840.57x = 590,508.89
  5. Step 5: Solve for x
    x = 590,508.89/840.57
  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.