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Finding the Fourth Proportional to 614.65, 848.40 and 405

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Solution

The fourth proportional to 614.65, 848.40 and 405 is: 559.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.65 : 848.40 = 405 : x
  2. Step 2: Convert to fraction form
    614.65/848.40 = 405/x
  3. Step 3: Cross multiply
    614.65x = 848.40 × 405
  4. Step 4: Simplify right side
    614.65x = 343,602
  5. Step 5: Solve for x
    x = 343,602/614.65
  6. Step 6: Final answer
    x = 559.02

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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.