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Finding the Fourth Proportional to 581.40, 802.35 and 332.66

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Solution

The fourth proportional to 581.40, 802.35 and 332.66 is: 459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.40 : 802.35 = 332.66 : x
  2. Step 2: Convert to fraction form
    581.40/802.35 = 332.66/x
  3. Step 3: Cross multiply
    581.40x = 802.35 × 332.66
  4. Step 4: Simplify right side
    581.40x = 266,911.76
  5. Step 5: Solve for x
    x = 266,911.76/581.40
  6. Step 6: Final answer
    x = 459.08

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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.