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Finding the Fourth Proportional to 830.04, 1,239.14 and 720.72

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Solution

The fourth proportional to 830.04, 1,239.14 and 720.72 is: 1,075.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.04 : 1,239.14 = 720.72 : x
  2. Step 2: Convert to fraction form
    830.04/1,239.14 = 720.72/x
  3. Step 3: Cross multiply
    830.04x = 1,239.14 × 720.72
  4. Step 4: Simplify right side
    830.04x = 893,069.38
  5. Step 5: Solve for x
    x = 893,069.38/830.04
  6. Step 6: Final answer
    x = 1,075.94

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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.