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Finding the Fourth Proportional to 529.74, 797.63 and 386.46

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Solution

The fourth proportional to 529.74, 797.63 and 386.46 is: 581.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.74 : 797.63 = 386.46 : x
  2. Step 2: Convert to fraction form
    529.74/797.63 = 386.46/x
  3. Step 3: Cross multiply
    529.74x = 797.63 × 386.46
  4. Step 4: Simplify right side
    529.74x = 308,250.16
  5. Step 5: Solve for x
    x = 308,250.16/529.74
  6. Step 6: Final answer
    x = 581.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.