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Finding the Fourth Proportional to 970.21, 1,339.83 and 829.51

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Solution

The fourth proportional to 970.21, 1,339.83 and 829.51 is: 1,145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.21 : 1,339.83 = 829.51 : x
  2. Step 2: Convert to fraction form
    970.21/1,339.83 = 829.51/x
  3. Step 3: Cross multiply
    970.21x = 1,339.83 × 829.51
  4. Step 4: Simplify right side
    970.21x = 1,111,402.38
  5. Step 5: Solve for x
    x = 1,111,402.38/970.21
  6. Step 6: Final answer
    x = 1,145.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.