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Finding the Fourth Proportional to 529.63, 795.13 and 407.98

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Solution

The fourth proportional to 529.63, 795.13 and 407.98 is: 612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.63 : 795.13 = 407.98 : x
  2. Step 2: Convert to fraction form
    529.63/795.13 = 407.98/x
  3. Step 3: Cross multiply
    529.63x = 795.13 × 407.98
  4. Step 4: Simplify right side
    529.63x = 324,397.14
  5. Step 5: Solve for x
    x = 324,397.14/529.63
  6. Step 6: Final answer
    x = 612.50

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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.