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Finding the Fourth Proportional to 840.18, 1,159.68 and 508.74

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Solution

The fourth proportional to 840.18, 1,159.68 and 508.74 is: 702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.18 : 1,159.68 = 508.74 : x
  2. Step 2: Convert to fraction form
    840.18/1,159.68 = 508.74/x
  3. Step 3: Cross multiply
    840.18x = 1,159.68 × 508.74
  4. Step 4: Simplify right side
    840.18x = 589,975.60
  5. Step 5: Solve for x
    x = 589,975.60/840.18
  6. Step 6: Final answer
    x = 702.20

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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.