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Finding the Fourth Proportional to 710.30, 1,064.64 and 384.98

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Solution

The fourth proportional to 710.30, 1,064.64 and 384.98 is: 577.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.30 : 1,064.64 = 384.98 : x
  2. Step 2: Convert to fraction form
    710.30/1,064.64 = 384.98/x
  3. Step 3: Cross multiply
    710.30x = 1,064.64 × 384.98
  4. Step 4: Simplify right side
    710.30x = 409,865.11
  5. Step 5: Solve for x
    x = 409,865.11/710.30
  6. Step 6: Final answer
    x = 577.03

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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.