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Finding the Fourth Proportional to 802.86, 1,204.64 and 437.10

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Solution

The fourth proportional to 802.86, 1,204.64 and 437.10 is: 655.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.86 : 1,204.64 = 437.10 : x
  2. Step 2: Convert to fraction form
    802.86/1,204.64 = 437.10/x
  3. Step 3: Cross multiply
    802.86x = 1,204.64 × 437.10
  4. Step 4: Simplify right side
    802.86x = 526,548.14
  5. Step 5: Solve for x
    x = 526,548.14/802.86
  6. Step 6: Final answer
    x = 655.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.