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Finding the Fourth Proportional to 970.86, 1,339.83 and 652.26

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Solution

The fourth proportional to 970.86, 1,339.83 and 652.26 is: 900.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.86 : 1,339.83 = 652.26 : x
  2. Step 2: Convert to fraction form
    970.86/1,339.83 = 652.26/x
  3. Step 3: Cross multiply
    970.86x = 1,339.83 × 652.26
  4. Step 4: Simplify right side
    970.86x = 873,917.52
  5. Step 5: Solve for x
    x = 873,917.52/970.86
  6. Step 6: Final answer
    x = 900.15

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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.