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Finding the Fourth Proportional to 508.58, 702.42 and 342.51

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Solution

The fourth proportional to 508.58, 702.42 and 342.51 is: 473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.58 : 702.42 = 342.51 : x
  2. Step 2: Convert to fraction form
    508.58/702.42 = 342.51/x
  3. Step 3: Cross multiply
    508.58x = 702.42 × 342.51
  4. Step 4: Simplify right side
    508.58x = 240,582.60
  5. Step 5: Solve for x
    x = 240,582.60/508.58
  6. Step 6: Final answer
    x = 473.05

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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.