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Finding the Fourth Proportional to 1,010.25, 1,393.88 and 715.01

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Solution

The fourth proportional to 1,010.25, 1,393.88 and 715.01 is: 986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.25 : 1,393.88 = 715.01 : x
  2. Step 2: Convert to fraction form
    1,010.25/1,393.88 = 715.01/x
  3. Step 3: Cross multiply
    1,010.25x = 1,393.88 × 715.01
  4. Step 4: Simplify right side
    1,010.25x = 996,627.59
  5. Step 5: Solve for x
    x = 996,627.59/1,010.25
  6. Step 6: Final answer
    x = 986.52

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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.