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Finding the Fourth Proportional to 970.46, 1,339.26 and 597.65

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Solution

The fourth proportional to 970.46, 1,339.26 and 597.65 is: 824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.46 : 1,339.26 = 597.65 : x
  2. Step 2: Convert to fraction form
    970.46/1,339.26 = 597.65/x
  3. Step 3: Cross multiply
    970.46x = 1,339.26 × 597.65
  4. Step 4: Simplify right side
    970.46x = 800,408.74
  5. Step 5: Solve for x
    x = 800,408.74/970.46
  6. Step 6: Final answer
    x = 824.77

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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.