Home / 712.02-982.40-417.30

Finding the Fourth Proportional to 712.02, 982.40 and 417.30

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Solution

The fourth proportional to 712.02, 982.40 and 417.30 is: 575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.02 : 982.40 = 417.30 : x
  2. Step 2: Convert to fraction form
    712.02/982.40 = 417.30/x
  3. Step 3: Cross multiply
    712.02x = 982.40 × 417.30
  4. Step 4: Simplify right side
    712.02x = 409,955.52
  5. Step 5: Solve for x
    x = 409,955.52/712.02
  6. Step 6: Final answer
    x = 575.76

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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.