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Finding the Fourth Proportional to 830.31, 1,145.55 and 510.94

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Solution

The fourth proportional to 830.31, 1,145.55 and 510.94 is: 704.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.31 : 1,145.55 = 510.94 : x
  2. Step 2: Convert to fraction form
    830.31/1,145.55 = 510.94/x
  3. Step 3: Cross multiply
    830.31x = 1,145.55 × 510.94
  4. Step 4: Simplify right side
    830.31x = 585,307.32
  5. Step 5: Solve for x
    x = 585,307.32/830.31
  6. Step 6: Final answer
    x = 704.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.