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Finding the Fourth Proportional to 663.89, 916.08 and 365.08

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Solution

The fourth proportional to 663.89, 916.08 and 365.08 is: 503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.89 : 916.08 = 365.08 : x
  2. Step 2: Convert to fraction form
    663.89/916.08 = 365.08/x
  3. Step 3: Cross multiply
    663.89x = 916.08 × 365.08
  4. Step 4: Simplify right side
    663.89x = 334,447.41
  5. Step 5: Solve for x
    x = 334,447.41/663.89
  6. Step 6: Final answer
    x = 503.77

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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.