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Finding the Fourth Proportional to 1,319.99, 1,979.99 and 590.08

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Solution

The fourth proportional to 1,319.99, 1,979.99 and 590.08 is: 885.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.99 : 1,979.99 = 590.08 : x
  2. Step 2: Convert to fraction form
    1,319.99/1,979.99 = 590.08/x
  3. Step 3: Cross multiply
    1,319.99x = 1,979.99 × 590.08
  4. Step 4: Simplify right side
    1,319.99x = 1,168,346.81
  5. Step 5: Solve for x
    x = 1,168,346.81/1,319.99
  6. Step 6: Final answer
    x = 885.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.