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Finding the Fourth Proportional to 978.03, 1,466.51 and 429.93

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Solution

The fourth proportional to 978.03, 1,466.51 and 429.93 is: 644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.03 : 1,466.51 = 429.93 : x
  2. Step 2: Convert to fraction form
    978.03/1,466.51 = 429.93/x
  3. Step 3: Cross multiply
    978.03x = 1,466.51 × 429.93
  4. Step 4: Simplify right side
    978.03x = 630,494.49
  5. Step 5: Solve for x
    x = 630,494.49/978.03
  6. Step 6: Final answer
    x = 644.66

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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.