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Finding the Fourth Proportional to 970.30, 1,456.01 and 581.25

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Solution

The fourth proportional to 970.30, 1,456.01 and 581.25 is: 872.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.30 : 1,456.01 = 581.25 : x
  2. Step 2: Convert to fraction form
    970.30/1,456.01 = 581.25/x
  3. Step 3: Cross multiply
    970.30x = 1,456.01 × 581.25
  4. Step 4: Simplify right side
    970.30x = 846,305.81
  5. Step 5: Solve for x
    x = 846,305.81/970.30
  6. Step 6: Final answer
    x = 872.21

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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.