Home / 1,316.61-1,973.34-585.36

Finding the Fourth Proportional to 1,316.61, 1,973.34 and 585.36

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Solution

The fourth proportional to 1,316.61, 1,973.34 and 585.36 is: 877.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.61 : 1,973.34 = 585.36 : x
  2. Step 2: Convert to fraction form
    1,316.61/1,973.34 = 585.36/x
  3. Step 3: Cross multiply
    1,316.61x = 1,973.34 × 585.36
  4. Step 4: Simplify right side
    1,316.61x = 1,155,114.30
  5. Step 5: Solve for x
    x = 1,155,114.30/1,316.61
  6. Step 6: Final answer
    x = 877.34

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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.