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Finding the Fourth Proportional to 875.99, 1,307.58 and 772.20

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Solution

The fourth proportional to 875.99, 1,307.58 and 772.20 is: 1,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.99 : 1,307.58 = 772.20 : x
  2. Step 2: Convert to fraction form
    875.99/1,307.58 = 772.20/x
  3. Step 3: Cross multiply
    875.99x = 1,307.58 × 772.20
  4. Step 4: Simplify right side
    875.99x = 1,009,713.28
  5. Step 5: Solve for x
    x = 1,009,713.28/875.99
  6. Step 6: Final answer
    x = 1,152.65

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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.