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Finding the Fourth Proportional to 608.48, 840.10 and 468.35

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Solution

The fourth proportional to 608.48, 840.10 and 468.35 is: 646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.48 : 840.10 = 468.35 : x
  2. Step 2: Convert to fraction form
    608.48/840.10 = 468.35/x
  3. Step 3: Cross multiply
    608.48x = 840.10 × 468.35
  4. Step 4: Simplify right side
    608.48x = 393,457.68
  5. Step 5: Solve for x
    x = 393,457.68/608.48
  6. Step 6: Final answer
    x = 646.63

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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.