Home / 1,323.02-1,984.95-706.70

Finding the Fourth Proportional to 1,323.02, 1,984.95 and 706.70

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Solution

The fourth proportional to 1,323.02, 1,984.95 and 706.70 is: 1,060.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.02 : 1,984.95 = 706.70 : x
  2. Step 2: Convert to fraction form
    1,323.02/1,984.95 = 706.70/x
  3. Step 3: Cross multiply
    1,323.02x = 1,984.95 × 706.70
  4. Step 4: Simplify right side
    1,323.02x = 1,402,764.17
  5. Step 5: Solve for x
    x = 1,402,764.17/1,323.02
  6. Step 6: Final answer
    x = 1,060.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.