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Finding the Fourth Proportional to 697.69, 962.48 and 417.79

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Solution

The fourth proportional to 697.69, 962.48 and 417.79 is: 576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.69 : 962.48 = 417.79 : x
  2. Step 2: Convert to fraction form
    697.69/962.48 = 417.79/x
  3. Step 3: Cross multiply
    697.69x = 962.48 × 417.79
  4. Step 4: Simplify right side
    697.69x = 402,116.77
  5. Step 5: Solve for x
    x = 402,116.77/697.69
  6. Step 6: Final answer
    x = 576.35

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1.5x scale

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.