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Finding the Fourth Proportional to 1,316.78, 1,973.64 and 623.62

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Solution

The fourth proportional to 1,316.78, 1,973.64 and 623.62 is: 934.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.78 : 1,973.64 = 623.62 : x
  2. Step 2: Convert to fraction form
    1,316.78/1,973.64 = 623.62/x
  3. Step 3: Cross multiply
    1,316.78x = 1,973.64 × 623.62
  4. Step 4: Simplify right side
    1,316.78x = 1,230,801.38
  5. Step 5: Solve for x
    x = 1,230,801.38/1,316.78
  6. Step 6: Final answer
    x = 934.71

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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.