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Finding the Fourth Proportional to 596.30, 890.98 and 522.20

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Solution

The fourth proportional to 596.30, 890.98 and 522.20 is: 780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.30 : 890.98 = 522.20 : x
  2. Step 2: Convert to fraction form
    596.30/890.98 = 522.20/x
  3. Step 3: Cross multiply
    596.30x = 890.98 × 522.20
  4. Step 4: Simplify right side
    596.30x = 465,269.76
  5. Step 5: Solve for x
    x = 465,269.76/596.30
  6. Step 6: Final answer
    x = 780.26

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.