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Finding the Fourth Proportional to 970.82, 1,339.73 and 592.59

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Solution

The fourth proportional to 970.82, 1,339.73 and 592.59 is: 817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.82 : 1,339.73 = 592.59 : x
  2. Step 2: Convert to fraction form
    970.82/1,339.73 = 592.59/x
  3. Step 3: Cross multiply
    970.82x = 1,339.73 × 592.59
  4. Step 4: Simplify right side
    970.82x = 793,907.64
  5. Step 5: Solve for x
    x = 793,907.64/970.82
  6. Step 6: Final answer
    x = 817.77

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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.