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Finding the Fourth Proportional to 663.96, 916.23 and 365.19

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Solution

The fourth proportional to 663.96, 916.23 and 365.19 is: 503.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.96 : 916.23 = 365.19 : x
  2. Step 2: Convert to fraction form
    663.96/916.23 = 365.19/x
  3. Step 3: Cross multiply
    663.96x = 916.23 × 365.19
  4. Step 4: Simplify right side
    663.96x = 334,599.07
  5. Step 5: Solve for x
    x = 334,599.07/663.96
  6. Step 6: Final answer
    x = 503.94

Related Problems

Find fourth proportional to 331.98, 458.11 and 182.60
Half scale
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Double scale
Find fourth proportional to 664.96, 917.61 and 366.19
Similar ratio
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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.