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Finding the Fourth Proportional to 970.84, 1,340.04 and 578.04

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Solution

The fourth proportional to 970.84, 1,340.04 and 578.04 is: 797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.84 : 1,340.04 = 578.04 : x
  2. Step 2: Convert to fraction form
    970.84/1,340.04 = 578.04/x
  3. Step 3: Cross multiply
    970.84x = 1,340.04 × 578.04
  4. Step 4: Simplify right side
    970.84x = 774,596.72
  5. Step 5: Solve for x
    x = 774,596.72/970.84
  6. Step 6: Final answer
    x = 797.86

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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.