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Finding the Fourth Proportional to 877.16, 1,210.57 and 655.73

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Solution

The fourth proportional to 877.16, 1,210.57 and 655.73 is: 904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.16 : 1,210.57 = 655.73 : x
  2. Step 2: Convert to fraction form
    877.16/1,210.57 = 655.73/x
  3. Step 3: Cross multiply
    877.16x = 1,210.57 × 655.73
  4. Step 4: Simplify right side
    877.16x = 793,805.14
  5. Step 5: Solve for x
    x = 793,805.14/877.16
  6. Step 6: Final answer
    x = 904.97

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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.