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Finding the Fourth Proportional to 740.37, 1,022.57 and 491.25

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Solution

The fourth proportional to 740.37, 1,022.57 and 491.25 is: 678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.37 : 1,022.57 = 491.25 : x
  2. Step 2: Convert to fraction form
    740.37/1,022.57 = 491.25/x
  3. Step 3: Cross multiply
    740.37x = 1,022.57 × 491.25
  4. Step 4: Simplify right side
    740.37x = 502,335.06
  5. Step 5: Solve for x
    x = 502,335.06/740.37
  6. Step 6: Final answer
    x = 678.49

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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.