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Finding the Fourth Proportional to 914.95, 1,369.90 and 589.51

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Solution

The fourth proportional to 914.95, 1,369.90 and 589.51 is: 882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.95 : 1,369.90 = 589.51 : x
  2. Step 2: Convert to fraction form
    914.95/1,369.90 = 589.51/x
  3. Step 3: Cross multiply
    914.95x = 1,369.90 × 589.51
  4. Step 4: Simplify right side
    914.95x = 807,569.75
  5. Step 5: Solve for x
    x = 807,569.75/914.95
  6. Step 6: Final answer
    x = 882.64

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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.