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Finding the Fourth Proportional to 817.49, 1,226.25 and 510.23

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Solution

The fourth proportional to 817.49, 1,226.25 and 510.23 is: 765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.49 : 1,226.25 = 510.23 : x
  2. Step 2: Convert to fraction form
    817.49/1,226.25 = 510.23/x
  3. Step 3: Cross multiply
    817.49x = 1,226.25 × 510.23
  4. Step 4: Simplify right side
    817.49x = 625,663.41
  5. Step 5: Solve for x
    x = 625,663.41/817.49
  6. Step 6: Final answer
    x = 765.35

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.