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Finding the Fourth Proportional to 600.77, 829.04 and 364.74

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Solution

The fourth proportional to 600.77, 829.04 and 364.74 is: 503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.77 : 829.04 = 364.74 : x
  2. Step 2: Convert to fraction form
    600.77/829.04 = 364.74/x
  3. Step 3: Cross multiply
    600.77x = 829.04 × 364.74
  4. Step 4: Simplify right side
    600.77x = 302,382.23
  5. Step 5: Solve for x
    x = 302,382.23/600.77
  6. Step 6: Final answer
    x = 503.33

Related Problems

Find fourth proportional to 300.38, 414.52 and 182.37
Half scale
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Double scale
Find fourth proportional to 601.77, 830.41 and 365.74
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.