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Finding the Fourth Proportional to 970.20, 1,455.66 and 385.25

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Solution

The fourth proportional to 970.20, 1,455.66 and 385.25 is: 578.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.20 : 1,455.66 = 385.25 : x
  2. Step 2: Convert to fraction form
    970.20/1,455.66 = 385.25/x
  3. Step 3: Cross multiply
    970.20x = 1,455.66 × 385.25
  4. Step 4: Simplify right side
    970.20x = 560,785.74
  5. Step 5: Solve for x
    x = 560,785.74/970.20
  6. Step 6: Final answer
    x = 578.01

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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.