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Finding the Fourth Proportional to 615.70, 923.10 and 307.93

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Solution

The fourth proportional to 615.70, 923.10 and 307.93 is: 461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.70 : 923.10 = 307.93 : x
  2. Step 2: Convert to fraction form
    615.70/923.10 = 307.93/x
  3. Step 3: Cross multiply
    615.70x = 923.10 × 307.93
  4. Step 4: Simplify right side
    615.70x = 284,245.86
  5. Step 5: Solve for x
    x = 284,245.86/615.70
  6. Step 6: Final answer
    x = 461.66

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Half scale
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Double scale
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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.