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Finding the Fourth Proportional to 1,047.60, 1,444.50 and 716.24

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Solution

The fourth proportional to 1,047.60, 1,444.50 and 716.24 is: 987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.60 : 1,444.50 = 716.24 : x
  2. Step 2: Convert to fraction form
    1,047.60/1,444.50 = 716.24/x
  3. Step 3: Cross multiply
    1,047.60x = 1,444.50 × 716.24
  4. Step 4: Simplify right side
    1,047.60x = 1,034,612.29
  5. Step 5: Solve for x
    x = 1,034,612.29/1,047.60
  6. Step 6: Final answer
    x = 987.60

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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.