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Finding the Fourth Proportional to 1,033, 1,547.82 and 621.16

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Solution

The fourth proportional to 1,033, 1,547.82 and 621.16 is: 930.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033 : 1,547.82 = 621.16 : x
  2. Step 2: Convert to fraction form
    1,033/1,547.82 = 621.16/x
  3. Step 3: Cross multiply
    1,033x = 1,547.82 × 621.16
  4. Step 4: Simplify right side
    1,033x = 961,443.87
  5. Step 5: Solve for x
    x = 961,443.87/1,033
  6. Step 6: Final answer
    x = 930.73

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Double scale
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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.