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Finding the Fourth Proportional to 816.51, 1,225.05 and 508.59

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Solution

The fourth proportional to 816.51, 1,225.05 and 508.59 is: 763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.51 : 1,225.05 = 508.59 : x
  2. Step 2: Convert to fraction form
    816.51/1,225.05 = 508.59/x
  3. Step 3: Cross multiply
    816.51x = 1,225.05 × 508.59
  4. Step 4: Simplify right side
    816.51x = 623,048.18
  5. Step 5: Solve for x
    x = 623,048.18/816.51
  6. Step 6: Final answer
    x = 763.06

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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.