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Finding the Fourth Proportional to 405.65, 607.70 and 341.06

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Solution

The fourth proportional to 405.65, 607.70 and 341.06 is: 510.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.65 : 607.70 = 341.06 : x
  2. Step 2: Convert to fraction form
    405.65/607.70 = 341.06/x
  3. Step 3: Cross multiply
    405.65x = 607.70 × 341.06
  4. Step 4: Simplify right side
    405.65x = 207,257.42
  5. Step 5: Solve for x
    x = 207,257.42/405.65
  6. Step 6: Final answer
    x = 510.93

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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.