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Finding the Fourth Proportional to 710.53, 1,066.65 and 556.27

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Solution

The fourth proportional to 710.53, 1,066.65 and 556.27 is: 835.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.53 : 1,066.65 = 556.27 : x
  2. Step 2: Convert to fraction form
    710.53/1,066.65 = 556.27/x
  3. Step 3: Cross multiply
    710.53x = 1,066.65 × 556.27
  4. Step 4: Simplify right side
    710.53x = 593,345.40
  5. Step 5: Solve for x
    x = 593,345.40/710.53
  6. Step 6: Final answer
    x = 835.07

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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.