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Finding the Fourth Proportional to 985.01, 1,477.43 and 429.70

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Solution

The fourth proportional to 985.01, 1,477.43 and 429.70 is: 644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.01 : 1,477.43 = 429.70 : x
  2. Step 2: Convert to fraction form
    985.01/1,477.43 = 429.70/x
  3. Step 3: Cross multiply
    985.01x = 1,477.43 × 429.70
  4. Step 4: Simplify right side
    985.01x = 634,851.67
  5. Step 5: Solve for x
    x = 634,851.67/985.01
  6. Step 6: Final answer
    x = 644.51

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Double scale
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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.