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Finding the Fourth Proportional to 707.58, 1,061.44 and 430.16

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Solution

The fourth proportional to 707.58, 1,061.44 and 430.16 is: 645.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.58 : 1,061.44 = 430.16 : x
  2. Step 2: Convert to fraction form
    707.58/1,061.44 = 430.16/x
  3. Step 3: Cross multiply
    707.58x = 1,061.44 × 430.16
  4. Step 4: Simplify right side
    707.58x = 456,589.03
  5. Step 5: Solve for x
    x = 456,589.03/707.58
  6. Step 6: Final answer
    x = 645.28

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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.