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Finding the Fourth Proportional to 875.67, 1,313.93 and 586.53

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Solution

The fourth proportional to 875.67, 1,313.93 and 586.53 is: 880.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.67 : 1,313.93 = 586.53 : x
  2. Step 2: Convert to fraction form
    875.67/1,313.93 = 586.53/x
  3. Step 3: Cross multiply
    875.67x = 1,313.93 × 586.53
  4. Step 4: Simplify right side
    875.67x = 770,656.43
  5. Step 5: Solve for x
    x = 770,656.43/875.67
  6. Step 6: Final answer
    x = 880.08

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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.