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Finding the Fourth Proportional to 707.55, 1,061.93 and 361.13

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Solution

The fourth proportional to 707.55, 1,061.93 and 361.13 is: 542.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.55 : 1,061.93 = 361.13 : x
  2. Step 2: Convert to fraction form
    707.55/1,061.93 = 361.13/x
  3. Step 3: Cross multiply
    707.55x = 1,061.93 × 361.13
  4. Step 4: Simplify right side
    707.55x = 383,490.37
  5. Step 5: Solve for x
    x = 383,490.37/707.55
  6. Step 6: Final answer
    x = 542.00

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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.