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Finding the Fourth Proportional to 753.74, 1,040.74 and 607.06

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Solution

The fourth proportional to 753.74, 1,040.74 and 607.06 is: 838.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.74 : 1,040.74 = 607.06 : x
  2. Step 2: Convert to fraction form
    753.74/1,040.74 = 607.06/x
  3. Step 3: Cross multiply
    753.74x = 1,040.74 × 607.06
  4. Step 4: Simplify right side
    753.74x = 631,787.50
  5. Step 5: Solve for x
    x = 631,787.50/753.74
  6. Step 6: Final answer
    x = 838.21

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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.