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Finding the Fourth Proportional to 840.99, 1,159.93 and 746.57

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Solution

The fourth proportional to 840.99, 1,159.93 and 746.57 is: 1,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.99 : 1,159.93 = 746.57 : x
  2. Step 2: Convert to fraction form
    840.99/1,159.93 = 746.57/x
  3. Step 3: Cross multiply
    840.99x = 1,159.93 × 746.57
  4. Step 4: Simplify right side
    840.99x = 865,968.94
  5. Step 5: Solve for x
    x = 865,968.94/840.99
  6. Step 6: Final answer
    x = 1,029.70

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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.