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Finding the Fourth Proportional to 647.53, 892.55 and 437.64

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Solution

The fourth proportional to 647.53, 892.55 and 437.64 is: 603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.53 : 892.55 = 437.64 : x
  2. Step 2: Convert to fraction form
    647.53/892.55 = 437.64/x
  3. Step 3: Cross multiply
    647.53x = 892.55 × 437.64
  4. Step 4: Simplify right side
    647.53x = 390,615.58
  5. Step 5: Solve for x
    x = 390,615.58/647.53
  6. Step 6: Final answer
    x = 603.24

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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.