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Finding the Fourth Proportional to 710.32, 977.16 and 591.52

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Solution

The fourth proportional to 710.32, 977.16 and 591.52 is: 813.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.32 : 977.16 = 591.52 : x
  2. Step 2: Convert to fraction form
    710.32/977.16 = 591.52/x
  3. Step 3: Cross multiply
    710.32x = 977.16 × 591.52
  4. Step 4: Simplify right side
    710.32x = 578,009.68
  5. Step 5: Solve for x
    x = 578,009.68/710.32
  6. Step 6: Final answer
    x = 813.73

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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.