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Finding the Fourth Proportional to 614.33, 920.33 and 340.65

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Solution

The fourth proportional to 614.33, 920.33 and 340.65 is: 510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.33 : 920.33 = 340.65 : x
  2. Step 2: Convert to fraction form
    614.33/920.33 = 340.65/x
  3. Step 3: Cross multiply
    614.33x = 920.33 × 340.65
  4. Step 4: Simplify right side
    614.33x = 313,509.99
  5. Step 5: Solve for x
    x = 313,509.99/614.33
  6. Step 6: Final answer
    x = 510.33

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1.5x scale

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.