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Finding the Fourth Proportional to 630.53, 870.32 and 421.01

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Solution

The fourth proportional to 630.53, 870.32 and 421.01 is: 581.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.53 : 870.32 = 421.01 : x
  2. Step 2: Convert to fraction form
    630.53/870.32 = 421.01/x
  3. Step 3: Cross multiply
    630.53x = 870.32 × 421.01
  4. Step 4: Simplify right side
    630.53x = 366,413.42
  5. Step 5: Solve for x
    x = 366,413.42/630.53
  6. Step 6: Final answer
    x = 581.12

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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.