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Finding the Fourth Proportional to 970.10, 1,455.36 and 320.79

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Solution

The fourth proportional to 970.10, 1,455.36 and 320.79 is: 481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.10 : 1,455.36 = 320.79 : x
  2. Step 2: Convert to fraction form
    970.10/1,455.36 = 320.79/x
  3. Step 3: Cross multiply
    970.10x = 1,455.36 × 320.79
  4. Step 4: Simplify right side
    970.10x = 466,864.93
  5. Step 5: Solve for x
    x = 466,864.93/970.10
  6. Step 6: Final answer
    x = 481.25

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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.