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Finding the Fourth Proportional to 840.17, 1,159.37 and 485.93

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Solution

The fourth proportional to 840.17, 1,159.37 and 485.93 is: 670.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.17 : 1,159.37 = 485.93 : x
  2. Step 2: Convert to fraction form
    840.17/1,159.37 = 485.93/x
  3. Step 3: Cross multiply
    840.17x = 1,159.37 × 485.93
  4. Step 4: Simplify right side
    840.17x = 563,373.13
  5. Step 5: Solve for x
    x = 563,373.13/840.17
  6. Step 6: Final answer
    x = 670.54

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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.