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Finding the Fourth Proportional to 1,117.74, 1,677.51 and 533.01

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Solution

The fourth proportional to 1,117.74, 1,677.51 and 533.01 is: 799.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.74 : 1,677.51 = 533.01 : x
  2. Step 2: Convert to fraction form
    1,117.74/1,677.51 = 533.01/x
  3. Step 3: Cross multiply
    1,117.74x = 1,677.51 × 533.01
  4. Step 4: Simplify right side
    1,117.74x = 894,129.61
  5. Step 5: Solve for x
    x = 894,129.61/1,117.74
  6. Step 6: Final answer
    x = 799.94

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Why These Related Problems?

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