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Finding the Fourth Proportional to 1,314.48, 1,972.48 and 534.56

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Solution

The fourth proportional to 1,314.48, 1,972.48 and 534.56 is: 802.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.48 : 1,972.48 = 534.56 : x
  2. Step 2: Convert to fraction form
    1,314.48/1,972.48 = 534.56/x
  3. Step 3: Cross multiply
    1,314.48x = 1,972.48 × 534.56
  4. Step 4: Simplify right side
    1,314.48x = 1,054,408.91
  5. Step 5: Solve for x
    x = 1,054,408.91/1,314.48
  6. Step 6: Final answer
    x = 802.15

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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.