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Finding the Fourth Proportional to 1,313.42, 1,970.93 and 533.49

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Solution

The fourth proportional to 1,313.42, 1,970.93 and 533.49 is: 800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.42 : 1,970.93 = 533.49 : x
  2. Step 2: Convert to fraction form
    1,313.42/1,970.93 = 533.49/x
  3. Step 3: Cross multiply
    1,313.42x = 1,970.93 × 533.49
  4. Step 4: Simplify right side
    1,313.42x = 1,051,465.39
  5. Step 5: Solve for x
    x = 1,051,465.39/1,313.42
  6. Step 6: Final answer
    x = 800.56

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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.