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Finding the Fourth Proportional to 970.98, 1,340.01 and 572.94

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Solution

The fourth proportional to 970.98, 1,340.01 and 572.94 is: 790.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.98 : 1,340.01 = 572.94 : x
  2. Step 2: Convert to fraction form
    970.98/1,340.01 = 572.94/x
  3. Step 3: Cross multiply
    970.98x = 1,340.01 × 572.94
  4. Step 4: Simplify right side
    970.98x = 767,745.33
  5. Step 5: Solve for x
    x = 767,745.33/970.98
  6. Step 6: Final answer
    x = 790.69

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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.