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Finding the Fourth Proportional to 1,157, 1,735.74 and 473

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Solution

The fourth proportional to 1,157, 1,735.74 and 473 is: 709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157 : 1,735.74 = 473 : x
  2. Step 2: Convert to fraction form
    1,157/1,735.74 = 473/x
  3. Step 3: Cross multiply
    1,157x = 1,735.74 × 473
  4. Step 4: Simplify right side
    1,157x = 821,005.02
  5. Step 5: Solve for x
    x = 821,005.02/1,157
  6. Step 6: Final answer
    x = 709.60

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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.