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Finding the Fourth Proportional to 1,111.17, 1,666.74 and 525.99

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Solution

The fourth proportional to 1,111.17, 1,666.74 and 525.99 is: 788.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.17 : 1,666.74 = 525.99 : x
  2. Step 2: Convert to fraction form
    1,111.17/1,666.74 = 525.99/x
  3. Step 3: Cross multiply
    1,111.17x = 1,666.74 × 525.99
  4. Step 4: Simplify right side
    1,111.17x = 876,688.57
  5. Step 5: Solve for x
    x = 876,688.57/1,111.17
  6. Step 6: Final answer
    x = 788.98

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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.