Home / 712.83-983.24-417.89

Finding the Fourth Proportional to 712.83, 983.24 and 417.89

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Solution

The fourth proportional to 712.83, 983.24 and 417.89 is: 576.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.83 : 983.24 = 417.89 : x
  2. Step 2: Convert to fraction form
    712.83/983.24 = 417.89/x
  3. Step 3: Cross multiply
    712.83x = 983.24 × 417.89
  4. Step 4: Simplify right side
    712.83x = 410,888.10
  5. Step 5: Solve for x
    x = 410,888.10/712.83
  6. Step 6: Final answer
    x = 576.42

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1.5x scale

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.