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Finding the Fourth Proportional to 581.24, 801.24 and 456.64

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Solution

The fourth proportional to 581.24, 801.24 and 456.64 is: 629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.24 : 801.24 = 456.64 : x
  2. Step 2: Convert to fraction form
    581.24/801.24 = 456.64/x
  3. Step 3: Cross multiply
    581.24x = 801.24 × 456.64
  4. Step 4: Simplify right side
    581.24x = 365,878.23
  5. Step 5: Solve for x
    x = 365,878.23/581.24
  6. Step 6: Final answer
    x = 629.48

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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.