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Finding the Fourth Proportional to 738.16, 1,019.66 and 590.60

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Solution

The fourth proportional to 738.16, 1,019.66 and 590.60 is: 815.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.16 : 1,019.66 = 590.60 : x
  2. Step 2: Convert to fraction form
    738.16/1,019.66 = 590.60/x
  3. Step 3: Cross multiply
    738.16x = 1,019.66 × 590.60
  4. Step 4: Simplify right side
    738.16x = 602,211.20
  5. Step 5: Solve for x
    x = 602,211.20/738.16
  6. Step 6: Final answer
    x = 815.83

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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.