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Finding the Fourth Proportional to 616.84, 840.37 and 604.19

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Solution

The fourth proportional to 616.84, 840.37 and 604.19 is: 823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.84 : 840.37 = 604.19 : x
  2. Step 2: Convert to fraction form
    616.84/840.37 = 604.19/x
  3. Step 3: Cross multiply
    616.84x = 840.37 × 604.19
  4. Step 4: Simplify right side
    616.84x = 507,746.01
  5. Step 5: Solve for x
    x = 507,746.01/616.84
  6. Step 6: Final answer
    x = 823.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.