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Finding the Fourth Proportional to 890.55, 1,228.82 and 497.57

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Solution

The fourth proportional to 890.55, 1,228.82 and 497.57 is: 686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.55 : 1,228.82 = 497.57 : x
  2. Step 2: Convert to fraction form
    890.55/1,228.82 = 497.57/x
  3. Step 3: Cross multiply
    890.55x = 1,228.82 × 497.57
  4. Step 4: Simplify right side
    890.55x = 611,415.34
  5. Step 5: Solve for x
    x = 611,415.34/890.55
  6. Step 6: Final answer
    x = 686.56

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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.