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Finding the Fourth Proportional to 1,047.17, 1,444.13 and 715.01

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Solution

The fourth proportional to 1,047.17, 1,444.13 and 715.01 is: 986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.17 : 1,444.13 = 715.01 : x
  2. Step 2: Convert to fraction form
    1,047.17/1,444.13 = 715.01/x
  3. Step 3: Cross multiply
    1,047.17x = 1,444.13 × 715.01
  4. Step 4: Simplify right side
    1,047.17x = 1,032,556.60
  5. Step 5: Solve for x
    x = 1,032,556.60/1,047.17
  6. Step 6: Final answer
    x = 986.05

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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.