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Finding the Fourth Proportional to 784.94, 1,177.59 and 420.08

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Solution

The fourth proportional to 784.94, 1,177.59 and 420.08 is: 630.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.94 : 1,177.59 = 420.08 : x
  2. Step 2: Convert to fraction form
    784.94/1,177.59 = 420.08/x
  3. Step 3: Cross multiply
    784.94x = 1,177.59 × 420.08
  4. Step 4: Simplify right side
    784.94x = 494,682.01
  5. Step 5: Solve for x
    x = 494,682.01/784.94
  6. Step 6: Final answer
    x = 630.22

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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.