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Finding the Fourth Proportional to 753.42, 1,130.32 and 368.76

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Solution

The fourth proportional to 753.42, 1,130.32 and 368.76 is: 553.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.42 : 1,130.32 = 368.76 : x
  2. Step 2: Convert to fraction form
    753.42/1,130.32 = 368.76/x
  3. Step 3: Cross multiply
    753.42x = 1,130.32 × 368.76
  4. Step 4: Simplify right side
    753.42x = 416,816.80
  5. Step 5: Solve for x
    x = 416,816.80/753.42
  6. Step 6: Final answer
    x = 553.23

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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.