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Finding the Fourth Proportional to 1,312.84, 1,968.81 and 582.93

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Solution

The fourth proportional to 1,312.84, 1,968.81 and 582.93 is: 874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.84 : 1,968.81 = 582.93 : x
  2. Step 2: Convert to fraction form
    1,312.84/1,968.81 = 582.93/x
  3. Step 3: Cross multiply
    1,312.84x = 1,968.81 × 582.93
  4. Step 4: Simplify right side
    1,312.84x = 1,147,676.23
  5. Step 5: Solve for x
    x = 1,147,676.23/1,312.84
  6. Step 6: Final answer
    x = 874.19

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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.