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Finding the Fourth Proportional to 970.77, 1,455.81 and 354.33

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Solution

The fourth proportional to 970.77, 1,455.81 and 354.33 is: 531.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.77 : 1,455.81 = 354.33 : x
  2. Step 2: Convert to fraction form
    970.77/1,455.81 = 354.33/x
  3. Step 3: Cross multiply
    970.77x = 1,455.81 × 354.33
  4. Step 4: Simplify right side
    970.77x = 515,837.16
  5. Step 5: Solve for x
    x = 515,837.16/970.77
  6. Step 6: Final answer
    x = 531.37

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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.