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Finding the Fourth Proportional to 740.75, 1,020.67 and 592.79

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Solution

The fourth proportional to 740.75, 1,020.67 and 592.79 is: 816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.75 : 1,020.67 = 592.79 : x
  2. Step 2: Convert to fraction form
    740.75/1,020.67 = 592.79/x
  3. Step 3: Cross multiply
    740.75x = 1,020.67 × 592.79
  4. Step 4: Simplify right side
    740.75x = 605,036.38
  5. Step 5: Solve for x
    x = 605,036.38/740.75
  6. Step 6: Final answer
    x = 816.79

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Half scale
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Double scale
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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.