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Finding the Fourth Proportional to 695.03, 1,041.93 and 510.35

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Solution

The fourth proportional to 695.03, 1,041.93 and 510.35 is: 765.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.03 : 1,041.93 = 510.35 : x
  2. Step 2: Convert to fraction form
    695.03/1,041.93 = 510.35/x
  3. Step 3: Cross multiply
    695.03x = 1,041.93 × 510.35
  4. Step 4: Simplify right side
    695.03x = 531,743.77
  5. Step 5: Solve for x
    x = 531,743.77/695.03
  6. Step 6: Final answer
    x = 765.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.