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Finding the Fourth Proportional to 858.79, 1,290.23 and 551.24

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Solution

The fourth proportional to 858.79, 1,290.23 and 551.24 is: 828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.79 : 1,290.23 = 551.24 : x
  2. Step 2: Convert to fraction form
    858.79/1,290.23 = 551.24/x
  3. Step 3: Cross multiply
    858.79x = 1,290.23 × 551.24
  4. Step 4: Simplify right side
    858.79x = 711,219.93
  5. Step 5: Solve for x
    x = 711,219.93/858.79
  6. Step 6: Final answer
    x = 828.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.