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Finding the Fourth Proportional to 608.47, 840 and 412.99

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Solution

The fourth proportional to 608.47, 840 and 412.99 is: 570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.47 : 840 = 412.99 : x
  2. Step 2: Convert to fraction form
    608.47/840 = 412.99/x
  3. Step 3: Cross multiply
    608.47x = 840 × 412.99
  4. Step 4: Simplify right side
    608.47x = 346,911.60
  5. Step 5: Solve for x
    x = 346,911.60/608.47
  6. Step 6: Final answer
    x = 570.14

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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.