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Finding the Fourth Proportional to 920.80, 1,271.12 and 589.68

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Solution

The fourth proportional to 920.80, 1,271.12 and 589.68 is: 814.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.80 : 1,271.12 = 589.68 : x
  2. Step 2: Convert to fraction form
    920.80/1,271.12 = 589.68/x
  3. Step 3: Cross multiply
    920.80x = 1,271.12 × 589.68
  4. Step 4: Simplify right side
    920.80x = 749,554.04
  5. Step 5: Solve for x
    x = 749,554.04/920.80
  6. Step 6: Final answer
    x = 814.02

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1.5x scale

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.