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Finding the Fourth Proportional to 581.32, 802.14 and 332.65

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Solution

The fourth proportional to 581.32, 802.14 and 332.65 is: 459.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.32 : 802.14 = 332.65 : x
  2. Step 2: Convert to fraction form
    581.32/802.14 = 332.65/x
  3. Step 3: Cross multiply
    581.32x = 802.14 × 332.65
  4. Step 4: Simplify right side
    581.32x = 266,831.63
  5. Step 5: Solve for x
    x = 266,831.63/581.32
  6. Step 6: Final answer
    x = 459.01

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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.