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Finding the Fourth Proportional to 581.12, 801.76 and 406.40

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Solution

The fourth proportional to 581.12, 801.76 and 406.40 is: 560.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.12 : 801.76 = 406.40 : x
  2. Step 2: Convert to fraction form
    581.12/801.76 = 406.40/x
  3. Step 3: Cross multiply
    581.12x = 801.76 × 406.40
  4. Step 4: Simplify right side
    581.12x = 325,835.26
  5. Step 5: Solve for x
    x = 325,835.26/581.12
  6. Step 6: Final answer
    x = 560.70

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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.