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Finding the Fourth Proportional to 1,145.34, 1,580.97 and 703.28

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Solution

The fourth proportional to 1,145.34, 1,580.97 and 703.28 is: 970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.34 : 1,580.97 = 703.28 : x
  2. Step 2: Convert to fraction form
    1,145.34/1,580.97 = 703.28/x
  3. Step 3: Cross multiply
    1,145.34x = 1,580.97 × 703.28
  4. Step 4: Simplify right side
    1,145.34x = 1,111,867.22
  5. Step 5: Solve for x
    x = 1,111,867.22/1,145.34
  6. Step 6: Final answer
    x = 970.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.