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Finding the Fourth Proportional to 670.64, 924.56 and 577.28

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Solution

The fourth proportional to 670.64, 924.56 and 577.28 is: 795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.64 : 924.56 = 577.28 : x
  2. Step 2: Convert to fraction form
    670.64/924.56 = 577.28/x
  3. Step 3: Cross multiply
    670.64x = 924.56 × 577.28
  4. Step 4: Simplify right side
    670.64x = 533,730.00
  5. Step 5: Solve for x
    x = 533,730.00/670.64
  6. Step 6: Final answer
    x = 795.85

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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.