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Finding the Fourth Proportional to 970.93, 1,456.67 and 740.08

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Solution

The fourth proportional to 970.93, 1,456.67 and 740.08 is: 1,110.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.93 : 1,456.67 = 740.08 : x
  2. Step 2: Convert to fraction form
    970.93/1,456.67 = 740.08/x
  3. Step 3: Cross multiply
    970.93x = 1,456.67 × 740.08
  4. Step 4: Simplify right side
    970.93x = 1,078,052.33
  5. Step 5: Solve for x
    x = 1,078,052.33/970.93
  6. Step 6: Final answer
    x = 1,110.33

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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.