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Finding the Fourth Proportional to 569.52, 785.13 and 420.27

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Solution

The fourth proportional to 569.52, 785.13 and 420.27 is: 579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.52 : 785.13 = 420.27 : x
  2. Step 2: Convert to fraction form
    569.52/785.13 = 420.27/x
  3. Step 3: Cross multiply
    569.52x = 785.13 × 420.27
  4. Step 4: Simplify right side
    569.52x = 329,966.59
  5. Step 5: Solve for x
    x = 329,966.59/569.52
  6. Step 6: Final answer
    x = 579.38

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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.