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Finding the Fourth Proportional to 1,113.47, 1,669.50 and 593.15

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Solution

The fourth proportional to 1,113.47, 1,669.50 and 593.15 is: 889.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.47 : 1,669.50 = 593.15 : x
  2. Step 2: Convert to fraction form
    1,113.47/1,669.50 = 593.15/x
  3. Step 3: Cross multiply
    1,113.47x = 1,669.50 × 593.15
  4. Step 4: Simplify right side
    1,113.47x = 990,263.93
  5. Step 5: Solve for x
    x = 990,263.93/1,113.47
  6. Step 6: Final answer
    x = 889.35

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Double scale
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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.