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Finding the Fourth Proportional to 838.04, 1,155.60 and 714.12

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Solution

The fourth proportional to 838.04, 1,155.60 and 714.12 is: 984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.04 : 1,155.60 = 714.12 : x
  2. Step 2: Convert to fraction form
    838.04/1,155.60 = 714.12/x
  3. Step 3: Cross multiply
    838.04x = 1,155.60 × 714.12
  4. Step 4: Simplify right side
    838.04x = 825,237.07
  5. Step 5: Solve for x
    x = 825,237.07/838.04
  6. Step 6: Final answer
    x = 984.72

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1.5x scale

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.