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Finding the Fourth Proportional to 711.99, 982.33 and 417.05

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Solution

The fourth proportional to 711.99, 982.33 and 417.05 is: 575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.99 : 982.33 = 417.05 : x
  2. Step 2: Convert to fraction form
    711.99/982.33 = 417.05/x
  3. Step 3: Cross multiply
    711.99x = 982.33 × 417.05
  4. Step 4: Simplify right side
    711.99x = 409,678.46
  5. Step 5: Solve for x
    x = 409,678.46/711.99
  6. Step 6: Final answer
    x = 575.40

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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.