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Finding the Fourth Proportional to 970.70, 1,339.17 and 592.39

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Solution

The fourth proportional to 970.70, 1,339.17 and 592.39 is: 817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.70 : 1,339.17 = 592.39 : x
  2. Step 2: Convert to fraction form
    970.70/1,339.17 = 592.39/x
  3. Step 3: Cross multiply
    970.70x = 1,339.17 × 592.39
  4. Step 4: Simplify right side
    970.70x = 793,310.37
  5. Step 5: Solve for x
    x = 793,310.37/970.70
  6. Step 6: Final answer
    x = 817.26

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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.