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Finding the Fourth Proportional to 890.35, 1,228.64 and 497.30

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Solution

The fourth proportional to 890.35, 1,228.64 and 497.30 is: 686.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.35 : 1,228.64 = 497.30 : x
  2. Step 2: Convert to fraction form
    890.35/1,228.64 = 497.30/x
  3. Step 3: Cross multiply
    890.35x = 1,228.64 × 497.30
  4. Step 4: Simplify right side
    890.35x = 610,994.04
  5. Step 5: Solve for x
    x = 610,994.04/890.35
  6. Step 6: Final answer
    x = 686.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.