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Finding the Fourth Proportional to 613.17, 919.23 and 305.17

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Solution

The fourth proportional to 613.17, 919.23 and 305.17 is: 457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.17 : 919.23 = 305.17 : x
  2. Step 2: Convert to fraction form
    613.17/919.23 = 305.17/x
  3. Step 3: Cross multiply
    613.17x = 919.23 × 305.17
  4. Step 4: Simplify right side
    613.17x = 280,521.42
  5. Step 5: Solve for x
    x = 280,521.42/613.17
  6. Step 6: Final answer
    x = 457.49

Related Problems

Find fourth proportional to 306.59, 459.62 and 152.59
Half scale
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Double scale
Find fourth proportional to 614.17, 920.73 and 306.17
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.