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Finding the Fourth Proportional to 1,153.17, 1,595.70 and 1,054.80

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Solution

The fourth proportional to 1,153.17, 1,595.70 and 1,054.80 is: 1,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.17 : 1,595.70 = 1,054.80 : x
  2. Step 2: Convert to fraction form
    1,153.17/1,595.70 = 1,054.80/x
  3. Step 3: Cross multiply
    1,153.17x = 1,595.70 × 1,054.80
  4. Step 4: Simplify right side
    1,153.17x = 1,683,144.36
  5. Step 5: Solve for x
    x = 1,683,144.36/1,153.17
  6. Step 6: Final answer
    x = 1,459.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.