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Finding the Fourth Proportional to 407.61, 565.50 and 403.35

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Solution

The fourth proportional to 407.61, 565.50 and 403.35 is: 559.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.61 : 565.50 = 403.35 : x
  2. Step 2: Convert to fraction form
    407.61/565.50 = 403.35/x
  3. Step 3: Cross multiply
    407.61x = 565.50 × 403.35
  4. Step 4: Simplify right side
    407.61x = 228,094.43
  5. Step 5: Solve for x
    x = 228,094.43/407.61
  6. Step 6: Final answer
    x = 559.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.