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Finding the Fourth Proportional to 970.69, 1,339.49 and 528.59

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Solution

The fourth proportional to 970.69, 1,339.49 and 528.59 is: 729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.69 : 1,339.49 = 528.59 : x
  2. Step 2: Convert to fraction form
    970.69/1,339.49 = 528.59/x
  3. Step 3: Cross multiply
    970.69x = 1,339.49 × 528.59
  4. Step 4: Simplify right side
    970.69x = 708,041.02
  5. Step 5: Solve for x
    x = 708,041.02/970.69
  6. Step 6: Final answer
    x = 729.42

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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.