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Finding the Fourth Proportional to 1,312.92, 1,970.78 and 583.10

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Solution

The fourth proportional to 1,312.92, 1,970.78 and 583.10 is: 875.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.92 : 1,970.78 = 583.10 : x
  2. Step 2: Convert to fraction form
    1,312.92/1,970.78 = 583.10/x
  3. Step 3: Cross multiply
    1,312.92x = 1,970.78 × 583.10
  4. Step 4: Simplify right side
    1,312.92x = 1,149,161.82
  5. Step 5: Solve for x
    x = 1,149,161.82/1,312.92
  6. Step 6: Final answer
    x = 875.27

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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.