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Finding the Fourth Proportional to 710.23, 977.79 and 560.58

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Solution

The fourth proportional to 710.23, 977.79 and 560.58 is: 771.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.23 : 977.79 = 560.58 : x
  2. Step 2: Convert to fraction form
    710.23/977.79 = 560.58/x
  3. Step 3: Cross multiply
    710.23x = 977.79 × 560.58
  4. Step 4: Simplify right side
    710.23x = 548,129.52
  5. Step 5: Solve for x
    x = 548,129.52/710.23
  6. Step 6: Final answer
    x = 771.76

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1.5x scale

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.