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Finding the Fourth Proportional to 970.46, 1,455.64 and 393.74

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Solution

The fourth proportional to 970.46, 1,455.64 and 393.74 is: 590.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.46 : 1,455.64 = 393.74 : x
  2. Step 2: Convert to fraction form
    970.46/1,455.64 = 393.74/x
  3. Step 3: Cross multiply
    970.46x = 1,455.64 × 393.74
  4. Step 4: Simplify right side
    970.46x = 573,143.69
  5. Step 5: Solve for x
    x = 573,143.69/970.46
  6. Step 6: Final answer
    x = 590.59

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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.