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Finding the Fourth Proportional to 608.06, 840.23 and 433.10

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Solution

The fourth proportional to 608.06, 840.23 and 433.10 is: 598.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.06 : 840.23 = 433.10 : x
  2. Step 2: Convert to fraction form
    608.06/840.23 = 433.10/x
  3. Step 3: Cross multiply
    608.06x = 840.23 × 433.10
  4. Step 4: Simplify right side
    608.06x = 363,897.25
  5. Step 5: Solve for x
    x = 363,897.25/608.06
  6. Step 6: Final answer
    x = 598.46

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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.