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Finding the Fourth Proportional to 1,312.47, 1,968.68 and 619.46

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Solution

The fourth proportional to 1,312.47, 1,968.68 and 619.46 is: 929.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.47 : 1,968.68 = 619.46 : x
  2. Step 2: Convert to fraction form
    1,312.47/1,968.68 = 619.46/x
  3. Step 3: Cross multiply
    1,312.47x = 1,968.68 × 619.46
  4. Step 4: Simplify right side
    1,312.47x = 1,219,520.34
  5. Step 5: Solve for x
    x = 1,219,520.34/1,312.47
  6. Step 6: Final answer
    x = 929.18

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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.