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Finding the Fourth Proportional to 890.02, 1,228.16 and 497.02

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Solution

The fourth proportional to 890.02, 1,228.16 and 497.02 is: 685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.02 : 1,228.16 = 497.02 : x
  2. Step 2: Convert to fraction form
    890.02/1,228.16 = 497.02/x
  3. Step 3: Cross multiply
    890.02x = 1,228.16 × 497.02
  4. Step 4: Simplify right side
    890.02x = 610,420.08
  5. Step 5: Solve for x
    x = 610,420.08/890.02
  6. Step 6: Final answer
    x = 685.85

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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.