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Finding the Fourth Proportional to 663.85, 916.12 and 365.12

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Solution

The fourth proportional to 663.85, 916.12 and 365.12 is: 503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.85 : 916.12 = 365.12 : x
  2. Step 2: Convert to fraction form
    663.85/916.12 = 365.12/x
  3. Step 3: Cross multiply
    663.85x = 916.12 × 365.12
  4. Step 4: Simplify right side
    663.85x = 334,492.82
  5. Step 5: Solve for x
    x = 334,492.82/663.85
  6. Step 6: Final answer
    x = 503.87

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Double scale
Find fourth proportional to 664.85, 917.50 and 366.12
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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.