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Finding the Fourth Proportional to 786.04, 1,177.94 and 420.53

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Solution

The fourth proportional to 786.04, 1,177.94 and 420.53 is: 630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.04 : 1,177.94 = 420.53 : x
  2. Step 2: Convert to fraction form
    786.04/1,177.94 = 420.53/x
  3. Step 3: Cross multiply
    786.04x = 1,177.94 × 420.53
  4. Step 4: Simplify right side
    786.04x = 495,354.27
  5. Step 5: Solve for x
    x = 495,354.27/786.04
  6. Step 6: Final answer
    x = 630.19

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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.