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Finding the Fourth Proportional to 617.61, 926.15 and 309.09

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Solution

The fourth proportional to 617.61, 926.15 and 309.09 is: 463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.61 : 926.15 = 309.09 : x
  2. Step 2: Convert to fraction form
    617.61/926.15 = 309.09/x
  3. Step 3: Cross multiply
    617.61x = 926.15 × 309.09
  4. Step 4: Simplify right side
    617.61x = 286,263.70
  5. Step 5: Solve for x
    x = 286,263.70/617.61
  6. Step 6: Final answer
    x = 463.50

Related Problems

Find fourth proportional to 308.81, 463.08 and 154.55
Half scale
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Double scale
Find fourth proportional to 618.61, 927.65 and 310.09
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.