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Finding the Fourth Proportional to 830.72, 1,239.46 and 707.60

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Solution

The fourth proportional to 830.72, 1,239.46 and 707.60 is: 1,055.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.72 : 1,239.46 = 707.60 : x
  2. Step 2: Convert to fraction form
    830.72/1,239.46 = 707.60/x
  3. Step 3: Cross multiply
    830.72x = 1,239.46 × 707.60
  4. Step 4: Simplify right side
    830.72x = 877,041.90
  5. Step 5: Solve for x
    x = 877,041.90/830.72
  6. Step 6: Final answer
    x = 1,055.76

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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.