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Finding the Fourth Proportional to 1,145.78, 1,580.40 and 703.11

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Solution

The fourth proportional to 1,145.78, 1,580.40 and 703.11 is: 969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.78 : 1,580.40 = 703.11 : x
  2. Step 2: Convert to fraction form
    1,145.78/1,580.40 = 703.11/x
  3. Step 3: Cross multiply
    1,145.78x = 1,580.40 × 703.11
  4. Step 4: Simplify right side
    1,145.78x = 1,111,195.04
  5. Step 5: Solve for x
    x = 1,111,195.04/1,145.78
  6. Step 6: Final answer
    x = 969.82

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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.