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Finding the Fourth Proportional to 840.23, 1,159.53 and 508.59

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Solution

The fourth proportional to 840.23, 1,159.53 and 508.59 is: 701.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.23 : 1,159.53 = 508.59 : x
  2. Step 2: Convert to fraction form
    840.23/1,159.53 = 508.59/x
  3. Step 3: Cross multiply
    840.23x = 1,159.53 × 508.59
  4. Step 4: Simplify right side
    840.23x = 589,725.36
  5. Step 5: Solve for x
    x = 589,725.36/840.23
  6. Step 6: Final answer
    x = 701.87

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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.