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Finding the Fourth Proportional to 678.95, 933.34 and 584.07

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Solution

The fourth proportional to 678.95, 933.34 and 584.07 is: 802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.95 : 933.34 = 584.07 : x
  2. Step 2: Convert to fraction form
    678.95/933.34 = 584.07/x
  3. Step 3: Cross multiply
    678.95x = 933.34 × 584.07
  4. Step 4: Simplify right side
    678.95x = 545,135.89
  5. Step 5: Solve for x
    x = 545,135.89/678.95
  6. Step 6: Final answer
    x = 802.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.