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Finding the Fourth Proportional to 707.10, 973.49 and 557.45

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Solution

The fourth proportional to 707.10, 973.49 and 557.45 is: 767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.10 : 973.49 = 557.45 : x
  2. Step 2: Convert to fraction form
    707.10/973.49 = 557.45/x
  3. Step 3: Cross multiply
    707.10x = 973.49 × 557.45
  4. Step 4: Simplify right side
    707.10x = 542,668.00
  5. Step 5: Solve for x
    x = 542,668.00/707.10
  6. Step 6: Final answer
    x = 767.46

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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.