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Finding the Fourth Proportional to 581.95, 803.73 and 386.29

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Solution

The fourth proportional to 581.95, 803.73 and 386.29 is: 533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.95 : 803.73 = 386.29 : x
  2. Step 2: Convert to fraction form
    581.95/803.73 = 386.29/x
  3. Step 3: Cross multiply
    581.95x = 803.73 × 386.29
  4. Step 4: Simplify right side
    581.95x = 310,472.86
  5. Step 5: Solve for x
    x = 310,472.86/581.95
  6. Step 6: Final answer
    x = 533.50

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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.