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Finding the Fourth Proportional to 697.42, 962.40 and 417.77

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Solution

The fourth proportional to 697.42, 962.40 and 417.77 is: 576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.42 : 962.40 = 417.77 : x
  2. Step 2: Convert to fraction form
    697.42/962.40 = 417.77/x
  3. Step 3: Cross multiply
    697.42x = 962.40 × 417.77
  4. Step 4: Simplify right side
    697.42x = 402,061.85
  5. Step 5: Solve for x
    x = 402,061.85/697.42
  6. Step 6: Final answer
    x = 576.50

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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.