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Finding the Fourth Proportional to 738.60, 1,018.38 and 590.76

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Solution

The fourth proportional to 738.60, 1,018.38 and 590.76 is: 814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.60 : 1,018.38 = 590.76 : x
  2. Step 2: Convert to fraction form
    738.60/1,018.38 = 590.76/x
  3. Step 3: Cross multiply
    738.60x = 1,018.38 × 590.76
  4. Step 4: Simplify right side
    738.60x = 601,618.17
  5. Step 5: Solve for x
    x = 601,618.17/738.60
  6. Step 6: Final answer
    x = 814.54

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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.