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Finding the Fourth Proportional to 868.93, 1,302.58 and 429.91

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Solution

The fourth proportional to 868.93, 1,302.58 and 429.91 is: 644.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.93 : 1,302.58 = 429.91 : x
  2. Step 2: Convert to fraction form
    868.93/1,302.58 = 429.91/x
  3. Step 3: Cross multiply
    868.93x = 1,302.58 × 429.91
  4. Step 4: Simplify right side
    868.93x = 559,989.45
  5. Step 5: Solve for x
    x = 559,989.45/868.93
  6. Step 6: Final answer
    x = 644.46

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1.5x scale

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.