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Finding the Fourth Proportional to 1,319.93, 1,978.47 and 703.01

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Solution

The fourth proportional to 1,319.93, 1,978.47 and 703.01 is: 1,053.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.93 : 1,978.47 = 703.01 : x
  2. Step 2: Convert to fraction form
    1,319.93/1,978.47 = 703.01/x
  3. Step 3: Cross multiply
    1,319.93x = 1,978.47 × 703.01
  4. Step 4: Simplify right side
    1,319.93x = 1,390,874.30
  5. Step 5: Solve for x
    x = 1,390,874.30/1,319.93
  6. Step 6: Final answer
    x = 1,053.75

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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.