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Finding the Fourth Proportional to 920.99, 1,270.53 and 589.32

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Solution

The fourth proportional to 920.99, 1,270.53 and 589.32 is: 812.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.99 : 1,270.53 = 589.32 : x
  2. Step 2: Convert to fraction form
    920.99/1,270.53 = 589.32/x
  3. Step 3: Cross multiply
    920.99x = 1,270.53 × 589.32
  4. Step 4: Simplify right side
    920.99x = 748,748.74
  5. Step 5: Solve for x
    x = 748,748.74/920.99
  6. Step 6: Final answer
    x = 812.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.