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Finding the Fourth Proportional to 529.61, 795.15 and 419.99

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Solution

The fourth proportional to 529.61, 795.15 and 419.99 is: 630.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.61 : 795.15 = 419.99 : x
  2. Step 2: Convert to fraction form
    529.61/795.15 = 419.99/x
  3. Step 3: Cross multiply
    529.61x = 795.15 × 419.99
  4. Step 4: Simplify right side
    529.61x = 333,951.07
  5. Step 5: Solve for x
    x = 333,951.07/529.61
  6. Step 6: Final answer
    x = 630.57

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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.