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Finding the Fourth Proportional to 710.10, 1,066.70 and 505.98

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Solution

The fourth proportional to 710.10, 1,066.70 and 505.98 is: 760.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.10 : 1,066.70 = 505.98 : x
  2. Step 2: Convert to fraction form
    710.10/1,066.70 = 505.98/x
  3. Step 3: Cross multiply
    710.10x = 1,066.70 × 505.98
  4. Step 4: Simplify right side
    710.10x = 539,730.13
  5. Step 5: Solve for x
    x = 539,730.13/710.10
  6. Step 6: Final answer
    x = 760.08

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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.