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Finding the Fourth Proportional to 875.64, 1,200.98 and 777.23

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Solution

The fourth proportional to 875.64, 1,200.98 and 777.23 is: 1,066.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.64 : 1,200.98 = 777.23 : x
  2. Step 2: Convert to fraction form
    875.64/1,200.98 = 777.23/x
  3. Step 3: Cross multiply
    875.64x = 1,200.98 × 777.23
  4. Step 4: Simplify right side
    875.64x = 933,437.69
  5. Step 5: Solve for x
    x = 933,437.69/875.64
  6. Step 6: Final answer
    x = 1,066.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.