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Finding the Fourth Proportional to 504.40, 695.64 and 421.28

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Solution

The fourth proportional to 504.40, 695.64 and 421.28 is: 581.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.40 : 695.64 = 421.28 : x
  2. Step 2: Convert to fraction form
    504.40/695.64 = 421.28/x
  3. Step 3: Cross multiply
    504.40x = 695.64 × 421.28
  4. Step 4: Simplify right side
    504.40x = 293,059.22
  5. Step 5: Solve for x
    x = 293,059.22/504.40
  6. Step 6: Final answer
    x = 581.01

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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.