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Finding the Fourth Proportional to 569.61, 786.45 and 420.26

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Solution

The fourth proportional to 569.61, 786.45 and 420.26 is: 580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.61 : 786.45 = 420.26 : x
  2. Step 2: Convert to fraction form
    569.61/786.45 = 420.26/x
  3. Step 3: Cross multiply
    569.61x = 786.45 × 420.26
  4. Step 4: Simplify right side
    569.61x = 330,509.54
  5. Step 5: Solve for x
    x = 330,509.54/569.61
  6. Step 6: Final answer
    x = 580.24

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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.