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Finding the Fourth Proportional to 877.02, 1,209.78 and 527.64

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Solution

The fourth proportional to 877.02, 1,209.78 and 527.64 is: 727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.02 : 1,209.78 = 527.64 : x
  2. Step 2: Convert to fraction form
    877.02/1,209.78 = 527.64/x
  3. Step 3: Cross multiply
    877.02x = 1,209.78 × 527.64
  4. Step 4: Simplify right side
    877.02x = 638,328.32
  5. Step 5: Solve for x
    x = 638,328.32/877.02
  6. Step 6: Final answer
    x = 727.84

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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.