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Finding the Fourth Proportional to 970.81, 1,456.21 and 286.81

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Solution

The fourth proportional to 970.81, 1,456.21 and 286.81 is: 430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.81 : 1,456.21 = 286.81 : x
  2. Step 2: Convert to fraction form
    970.81/1,456.21 = 286.81/x
  3. Step 3: Cross multiply
    970.81x = 1,456.21 × 286.81
  4. Step 4: Simplify right side
    970.81x = 417,655.59
  5. Step 5: Solve for x
    x = 417,655.59/970.81
  6. Step 6: Final answer
    x = 430.21

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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.