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Finding the Fourth Proportional to 613.05, 919.62 and 304.98

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Solution

The fourth proportional to 613.05, 919.62 and 304.98 is: 457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.05 : 919.62 = 304.98 : x
  2. Step 2: Convert to fraction form
    613.05/919.62 = 304.98/x
  3. Step 3: Cross multiply
    613.05x = 919.62 × 304.98
  4. Step 4: Simplify right side
    613.05x = 280,465.71
  5. Step 5: Solve for x
    x = 280,465.71/613.05
  6. Step 6: Final answer
    x = 457.49

Related Problems

Find fourth proportional to 306.53, 459.81 and 152.49
Half scale
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Double scale
Find fourth proportional to 614.05, 921.12 and 305.98
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.