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Finding the Fourth Proportional to 840.99, 1,159.91 and 546.35

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Solution

The fourth proportional to 840.99, 1,159.91 and 546.35 is: 753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.99 : 1,159.91 = 546.35 : x
  2. Step 2: Convert to fraction form
    840.99/1,159.91 = 546.35/x
  3. Step 3: Cross multiply
    840.99x = 1,159.91 × 546.35
  4. Step 4: Simplify right side
    840.99x = 633,719.05
  5. Step 5: Solve for x
    x = 633,719.05/840.99
  6. Step 6: Final answer
    x = 753.54

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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.