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Finding the Fourth Proportional to 875.71, 1,307.16 and 771.92

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Solution

The fourth proportional to 875.71, 1,307.16 and 771.92 is: 1,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.71 : 1,307.16 = 771.92 : x
  2. Step 2: Convert to fraction form
    875.71/1,307.16 = 771.92/x
  3. Step 3: Cross multiply
    875.71x = 1,307.16 × 771.92
  4. Step 4: Simplify right side
    875.71x = 1,009,021.31
  5. Step 5: Solve for x
    x = 1,009,021.31/875.71
  6. Step 6: Final answer
    x = 1,152.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.