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Finding the Fourth Proportional to 956.46, 1,434.70 and 307.20

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Solution

The fourth proportional to 956.46, 1,434.70 and 307.20 is: 460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.46 : 1,434.70 = 307.20 : x
  2. Step 2: Convert to fraction form
    956.46/1,434.70 = 307.20/x
  3. Step 3: Cross multiply
    956.46x = 1,434.70 × 307.20
  4. Step 4: Simplify right side
    956.46x = 440,739.84
  5. Step 5: Solve for x
    x = 440,739.84/956.46
  6. Step 6: Final answer
    x = 460.80

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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.