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Finding the Fourth Proportional to 1,158.77, 1,598.45 and 715.92

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Solution

The fourth proportional to 1,158.77, 1,598.45 and 715.92 is: 987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.77 : 1,598.45 = 715.92 : x
  2. Step 2: Convert to fraction form
    1,158.77/1,598.45 = 715.92/x
  3. Step 3: Cross multiply
    1,158.77x = 1,598.45 × 715.92
  4. Step 4: Simplify right side
    1,158.77x = 1,144,358.74
  5. Step 5: Solve for x
    x = 1,144,358.74/1,158.77
  6. Step 6: Final answer
    x = 987.57

Related Problems

Find fourth proportional to 579.38, 799.22 and 357.96
Half scale
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Double scale
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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.