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Finding the Fourth Proportional to 1,047.50, 1,444.75 and 767.63

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Solution

The fourth proportional to 1,047.50, 1,444.75 and 767.63 is: 1,058.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.50 : 1,444.75 = 767.63 : x
  2. Step 2: Convert to fraction form
    1,047.50/1,444.75 = 767.63/x
  3. Step 3: Cross multiply
    1,047.50x = 1,444.75 × 767.63
  4. Step 4: Simplify right side
    1,047.50x = 1,109,035.14
  5. Step 5: Solve for x
    x = 1,109,035.14/1,047.50
  6. Step 6: Final answer
    x = 1,058.74

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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.