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Finding the Fourth Proportional to 1,020.65, 1,528.52 and 586.49

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Solution

The fourth proportional to 1,020.65, 1,528.52 and 586.49 is: 878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.65 : 1,528.52 = 586.49 : x
  2. Step 2: Convert to fraction form
    1,020.65/1,528.52 = 586.49/x
  3. Step 3: Cross multiply
    1,020.65x = 1,528.52 × 586.49
  4. Step 4: Simplify right side
    1,020.65x = 896,451.12
  5. Step 5: Solve for x
    x = 896,451.12/1,020.65
  6. Step 6: Final answer
    x = 878.32

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Double scale
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1.5x scale

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.