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Finding the Fourth Proportional to 970.25, 1,339.19 and 597.47

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Solution

The fourth proportional to 970.25, 1,339.19 and 597.47 is: 824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.25 : 1,339.19 = 597.47 : x
  2. Step 2: Convert to fraction form
    970.25/1,339.19 = 597.47/x
  3. Step 3: Cross multiply
    970.25x = 1,339.19 × 597.47
  4. Step 4: Simplify right side
    970.25x = 800,122.86
  5. Step 5: Solve for x
    x = 800,122.86/970.25
  6. Step 6: Final answer
    x = 824.66

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Double scale
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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.