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Finding the Fourth Proportional to 897.83, 1,347.08 and 508.27

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Solution

The fourth proportional to 897.83, 1,347.08 and 508.27 is: 762.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.83 : 1,347.08 = 508.27 : x
  2. Step 2: Convert to fraction form
    897.83/1,347.08 = 508.27/x
  3. Step 3: Cross multiply
    897.83x = 1,347.08 × 508.27
  4. Step 4: Simplify right side
    897.83x = 684,680.35
  5. Step 5: Solve for x
    x = 684,680.35/897.83
  6. Step 6: Final answer
    x = 762.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.