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Finding the Fourth Proportional to 535.86, 740.07 and 420.30

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Solution

The fourth proportional to 535.86, 740.07 and 420.30 is: 580.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.86 : 740.07 = 420.30 : x
  2. Step 2: Convert to fraction form
    535.86/740.07 = 420.30/x
  3. Step 3: Cross multiply
    535.86x = 740.07 × 420.30
  4. Step 4: Simplify right side
    535.86x = 311,051.42
  5. Step 5: Solve for x
    x = 311,051.42/535.86
  6. Step 6: Final answer
    x = 580.47

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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.