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Finding the Fourth Proportional to 645.66, 890.30 and 510.83

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Solution

The fourth proportional to 645.66, 890.30 and 510.83 is: 704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.66 : 890.30 = 510.83 : x
  2. Step 2: Convert to fraction form
    645.66/890.30 = 510.83/x
  3. Step 3: Cross multiply
    645.66x = 890.30 × 510.83
  4. Step 4: Simplify right side
    645.66x = 454,793.94
  5. Step 5: Solve for x
    x = 454,793.94/645.66
  6. Step 6: Final answer
    x = 704.39

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Half scale
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Double scale
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1.5x scale

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.