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Finding the Fourth Proportional to 1,059.19, 1,461.65 and 587.07

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Solution

The fourth proportional to 1,059.19, 1,461.65 and 587.07 is: 810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.19 : 1,461.65 = 587.07 : x
  2. Step 2: Convert to fraction form
    1,059.19/1,461.65 = 587.07/x
  3. Step 3: Cross multiply
    1,059.19x = 1,461.65 × 587.07
  4. Step 4: Simplify right side
    1,059.19x = 858,090.87
  5. Step 5: Solve for x
    x = 858,090.87/1,059.19
  6. Step 6: Final answer
    x = 810.14

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Why These Related Problems?

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