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Finding the Fourth Proportional to 876.04, 1,307.61 and 802.98

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Solution

The fourth proportional to 876.04, 1,307.61 and 802.98 is: 1,198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.04 : 1,307.61 = 802.98 : x
  2. Step 2: Convert to fraction form
    876.04/1,307.61 = 802.98/x
  3. Step 3: Cross multiply
    876.04x = 1,307.61 × 802.98
  4. Step 4: Simplify right side
    876.04x = 1,049,980.66
  5. Step 5: Solve for x
    x = 1,049,980.66/876.04
  6. Step 6: Final answer
    x = 1,198.56

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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.