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Finding the Fourth Proportional to 614.07, 846.96 and 390.07

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Solution

The fourth proportional to 614.07, 846.96 and 390.07 is: 538.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.07 : 846.96 = 390.07 : x
  2. Step 2: Convert to fraction form
    614.07/846.96 = 390.07/x
  3. Step 3: Cross multiply
    614.07x = 846.96 × 390.07
  4. Step 4: Simplify right side
    614.07x = 330,373.69
  5. Step 5: Solve for x
    x = 330,373.69/614.07
  6. Step 6: Final answer
    x = 538.01

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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.