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Finding the Fourth Proportional to 914.17, 1,369.43 and 589.76

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Solution

The fourth proportional to 914.17, 1,369.43 and 589.76 is: 883.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.17 : 1,369.43 = 589.76 : x
  2. Step 2: Convert to fraction form
    914.17/1,369.43 = 589.76/x
  3. Step 3: Cross multiply
    914.17x = 1,369.43 × 589.76
  4. Step 4: Simplify right side
    914.17x = 807,635.51
  5. Step 5: Solve for x
    x = 807,635.51/914.17
  6. Step 6: Final answer
    x = 883.47

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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.