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Finding the Fourth Proportional to 581.39, 802.31 and 319.40

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Solution

The fourth proportional to 581.39, 802.31 and 319.40 is: 440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.39 : 802.31 = 319.40 : x
  2. Step 2: Convert to fraction form
    581.39/802.31 = 319.40/x
  3. Step 3: Cross multiply
    581.39x = 802.31 × 319.40
  4. Step 4: Simplify right side
    581.39x = 256,256.22
  5. Step 5: Solve for x
    x = 256,256.22/581.39
  6. Step 6: Final answer
    x = 440.76

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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.