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Finding the Fourth Proportional to 556.29, 833.70 and 433.05

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Solution

The fourth proportional to 556.29, 833.70 and 433.05 is: 649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.29 : 833.70 = 433.05 : x
  2. Step 2: Convert to fraction form
    556.29/833.70 = 433.05/x
  3. Step 3: Cross multiply
    556.29x = 833.70 × 433.05
  4. Step 4: Simplify right side
    556.29x = 361,033.79
  5. Step 5: Solve for x
    x = 361,033.79/556.29
  6. Step 6: Final answer
    x = 649.00

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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.